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Finding the Third Proportional to 225,013,725 and 338,119,686

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Solution

The third proportional to 225,013,725 and 338,119,686 is: 508,079,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,013,725 : 338,119,686 = 338,119,686 : x
  2. Step 2: Convert to fraction form
    225,013,725/338,119,686 = 338,119,686/x
  3. Step 3: Cross multiply
    225,013,725x = 338,119,686 × 338,119,686
  4. Step 4: Simplify right side
    225,013,725x = 114,324,922,060,738,592
  5. Step 5: Solve for x
    x = 114,324,922,060,738,592/225,013,725
  6. Step 6: Final answer
    x = 508,079,771.85

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