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Finding the Third Proportional to 123,814,762 and 186,034,143

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Solution

The third proportional to 123,814,762 and 186,034,143 is: 279,520,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814,762 : 186,034,143 = 186,034,143 : x
  2. Step 2: Convert to fraction form
    123,814,762/186,034,143 = 186,034,143/x
  3. Step 3: Cross multiply
    123,814,762x = 186,034,143 × 186,034,143
  4. Step 4: Simplify right side
    123,814,762x = 34,608,702,361,744,448
  5. Step 5: Solve for x
    x = 34,608,702,361,744,448/123,814,762
  6. Step 6: Final answer
    x = 279,520,000.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.