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Finding the Third Proportional to 106,357,895.25 and 231,350,664

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Solution

The third proportional to 106,357,895.25 and 231,350,664 is: 503,236,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,895.25 : 231,350,664 = 231,350,664 : x
  2. Step 2: Convert to fraction form
    106,357,895.25/231,350,664 = 231,350,664/x
  3. Step 3: Cross multiply
    106,357,895.25x = 231,350,664 × 231,350,664
  4. Step 4: Simplify right side
    106,357,895.25x = 53,523,129,733,240,896
  5. Step 5: Solve for x
    x = 53,523,129,733,240,896/106,357,895.25
  6. Step 6: Final answer
    x = 503,236,074.83

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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.