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Finding the Third Proportional to 103,614,424 and 226,696,566

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Solution

The third proportional to 103,614,424 and 226,696,566 is: 495,986,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,424 : 226,696,566 = 226,696,566 : x
  2. Step 2: Convert to fraction form
    103,614,424/226,696,566 = 226,696,566/x
  3. Step 3: Cross multiply
    103,614,424x = 226,696,566 × 226,696,566
  4. Step 4: Simplify right side
    103,614,424x = 51,391,333,036,192,352
  5. Step 5: Solve for x
    x = 51,391,333,036,192,352/103,614,424
  6. Step 6: Final answer
    x = 495,986,283.11

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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.