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Finding the Third Proportional to 82,250,055 and 127,767,774

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Solution

The third proportional to 82,250,055 and 127,767,774 is: 198,475,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,250,055 : 127,767,774 = 127,767,774 : x
  2. Step 2: Convert to fraction form
    82,250,055/127,767,774 = 127,767,774/x
  3. Step 3: Cross multiply
    82,250,055x = 127,767,774 × 127,767,774
  4. Step 4: Simplify right side
    82,250,055x = 16,324,604,072,915,076
  5. Step 5: Solve for x
    x = 16,324,604,072,915,076/82,250,055
  6. Step 6: Final answer
    x = 198,475,296.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.