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Finding the Third Proportional to 85,068,564 and 131,977,007

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Solution

The third proportional to 85,068,564 and 131,977,007 is: 204,751,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,068,564 : 131,977,007 = 131,977,007 : x
  2. Step 2: Convert to fraction form
    85,068,564/131,977,007 = 131,977,007/x
  3. Step 3: Cross multiply
    85,068,564x = 131,977,007 × 131,977,007
  4. Step 4: Simplify right side
    85,068,564x = 17,417,930,376,678,048
  5. Step 5: Solve for x
    x = 17,417,930,376,678,048/85,068,564
  6. Step 6: Final answer
    x = 204,751,668.04

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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.