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Finding the Third Proportional to 106,428,265 and 229,468,981

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Solution

The third proportional to 106,428,265 and 229,468,981 is: 494,755,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428,265 : 229,468,981 = 229,468,981 : x
  2. Step 2: Convert to fraction form
    106,428,265/229,468,981 = 229,468,981/x
  3. Step 3: Cross multiply
    106,428,265x = 229,468,981 × 229,468,981
  4. Step 4: Simplify right side
    106,428,265x = 52,656,013,241,178,360
  5. Step 5: Solve for x
    x = 52,656,013,241,178,360/106,428,265
  6. Step 6: Final answer
    x = 494,755,911.33

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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.