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Finding the Third Proportional to 106,357,536 and 231,349,950

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Solution

The third proportional to 106,357,536 and 231,349,950 is: 503,234,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,536 : 231,349,950 = 231,349,950 : x
  2. Step 2: Convert to fraction form
    106,357,536/231,349,950 = 231,349,950/x
  3. Step 3: Cross multiply
    106,357,536x = 231,349,950 × 231,349,950
  4. Step 4: Simplify right side
    106,357,536x = 53,522,799,365,002,496
  5. Step 5: Solve for x
    x = 53,522,799,365,002,496/106,357,536
  6. Step 6: Final answer
    x = 503,234,668.44

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