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Finding the Third Proportional to 41,489,701,669,605 and 92,255,908,472,198

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Solution

The third proportional to 41,489,701,669,605 and 92,255,908,472,198 is: 205,138,921,359,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,489,701,669,605 : 92,255,908,472,198 = 92,255,908,472,198 : x
  2. Step 2: Convert to fraction form
    41,489,701,669,605/92,255,908,472,198 = 92,255,908,472,198/x
  3. Step 3: Cross multiply
    41,489,701,669,605x = 92,255,908,472,198 × 92,255,908,472,198
  4. Step 4: Simplify right side
    41,489,701,669,605x = 8,511,152,648,030,574,706,044,174,336
  5. Step 5: Solve for x
    x = 8,511,152,648,030,574,706,044,174,336/41,489,701,669,605
  6. Step 6: Final answer
    x = 205,138,921,359,508.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.