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Finding the Third Proportional to 103,614,520 and 226,696,712

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Solution

The third proportional to 103,614,520 and 226,696,712 is: 495,986,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,520 : 226,696,712 = 226,696,712 : x
  2. Step 2: Convert to fraction form
    103,614,520/226,696,712 = 226,696,712/x
  3. Step 3: Cross multiply
    103,614,520x = 226,696,712 × 226,696,712
  4. Step 4: Simplify right side
    103,614,520x = 51,391,399,231,610,944
  5. Step 5: Solve for x
    x = 51,391,399,231,610,944/103,614,520
  6. Step 6: Final answer
    x = 495,986,462.43

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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.