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Finding the Third Proportional to 182,034,432 and 266,239,128

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Solution

The third proportional to 182,034,432 and 266,239,128 is: 389,394,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,034,432 : 266,239,128 = 266,239,128 : x
  2. Step 2: Convert to fraction form
    182,034,432/266,239,128 = 266,239,128/x
  3. Step 3: Cross multiply
    182,034,432x = 266,239,128 × 266,239,128
  4. Step 4: Simplify right side
    182,034,432x = 70,883,273,278,200,384
  5. Step 5: Solve for x
    x = 70,883,273,278,200,384/182,034,432
  6. Step 6: Final answer
    x = 389,394,866.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.