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Finding the Third Proportional to 106,357,705 and 231,350,377

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Solution

The third proportional to 106,357,705 and 231,350,377 is: 503,235,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,705 : 231,350,377 = 231,350,377 : x
  2. Step 2: Convert to fraction form
    106,357,705/231,350,377 = 231,350,377/x
  3. Step 3: Cross multiply
    106,357,705x = 231,350,377 × 231,350,377
  4. Step 4: Simplify right side
    106,357,705x = 53,522,996,938,042,128
  5. Step 5: Solve for x
    x = 53,522,996,938,042,128/106,357,705
  6. Step 6: Final answer
    x = 503,235,726.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.