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Finding the Third Proportional to 89,936,864,782 and 199,982,328,430

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Solution

The third proportional to 89,936,864,782 and 199,982,328,430 is: 444,677,850,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,936,864,782 : 199,982,328,430 = 199,982,328,430 : x
  2. Step 2: Convert to fraction form
    89,936,864,782/199,982,328,430 = 199,982,328,430/x
  3. Step 3: Cross multiply
    89,936,864,782x = 199,982,328,430 × 199,982,328,430
  4. Step 4: Simplify right side
    89,936,864,782x = 39,992,931,684,284,385,722,368
  5. Step 5: Solve for x
    x = 39,992,931,684,284,385,722,368/89,936,864,782
  6. Step 6: Final answer
    x = 444,677,850,192.18

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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.