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Finding the Third Proportional to 103,614,495 and 226,696,706

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Solution

The third proportional to 103,614,495 and 226,696,706 is: 495,986,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,495 : 226,696,706 = 226,696,706 : x
  2. Step 2: Convert to fraction form
    103,614,495/226,696,706 = 226,696,706/x
  3. Step 3: Cross multiply
    103,614,495x = 226,696,706 × 226,696,706
  4. Step 4: Simplify right side
    103,614,495x = 51,391,396,511,250,432
  5. Step 5: Solve for x
    x = 51,391,396,511,250,432/103,614,495
  6. Step 6: Final answer
    x = 495,986,555.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.