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Finding the Third Proportional to 106,357,899 and 231,350,670

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Solution

The third proportional to 106,357,899 and 231,350,670 is: 503,236,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,899 : 231,350,670 = 231,350,670 : x
  2. Step 2: Convert to fraction form
    106,357,899/231,350,670 = 231,350,670/x
  3. Step 3: Cross multiply
    106,357,899x = 231,350,670 × 231,350,670
  4. Step 4: Simplify right side
    106,357,899x = 53,523,132,509,448,896
  5. Step 5: Solve for x
    x = 53,523,132,509,448,896/106,357,899
  6. Step 6: Final answer
    x = 503,236,083.19

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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.