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Finding the Third Proportional to 123,814,754 and 186,034,131

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Solution

The third proportional to 123,814,754 and 186,034,131 is: 279,519,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814,754 : 186,034,131 = 186,034,131 : x
  2. Step 2: Convert to fraction form
    123,814,754/186,034,131 = 186,034,131/x
  3. Step 3: Cross multiply
    123,814,754x = 186,034,131 × 186,034,131
  4. Step 4: Simplify right side
    123,814,754x = 34,608,697,896,925,160
  5. Step 5: Solve for x
    x = 34,608,697,896,925,160/123,814,754
  6. Step 6: Final answer
    x = 279,519,982.71

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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.