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Finding the Third Proportional to 83,916,576 and 126,645,936

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Solution

The third proportional to 83,916,576 and 126,645,936 is: 191,132,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916,576 : 126,645,936 = 126,645,936 : x
  2. Step 2: Convert to fraction form
    83,916,576/126,645,936 = 126,645,936/x
  3. Step 3: Cross multiply
    83,916,576x = 126,645,936 × 126,645,936
  4. Step 4: Simplify right side
    83,916,576x = 16,039,193,105,316,096
  5. Step 5: Solve for x
    x = 16,039,193,105,316,096/83,916,576
  6. Step 6: Final answer
    x = 191,132,597.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.