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Finding the Third Proportional to 42,778,045.50 and 92,375,340

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Solution

The third proportional to 42,778,045.50 and 92,375,340 is: 199,476,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778,045.50 : 92,375,340 = 92,375,340 : x
  2. Step 2: Convert to fraction form
    42,778,045.50/92,375,340 = 92,375,340/x
  3. Step 3: Cross multiply
    42,778,045.50x = 92,375,340 × 92,375,340
  4. Step 4: Simplify right side
    42,778,045.50x = 8,533,203,440,115,600
  5. Step 5: Solve for x
    x = 8,533,203,440,115,600/42,778,045.50
  6. Step 6: Final answer
    x = 199,476,234.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.