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Finding the Third Proportional to 98,534,041 and 138,581,536

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Solution

The third proportional to 98,534,041 and 138,581,536 is: 194,905,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,534,041 : 138,581,536 = 138,581,536 : x
  2. Step 2: Convert to fraction form
    98,534,041/138,581,536 = 138,581,536/x
  3. Step 3: Cross multiply
    98,534,041x = 138,581,536 × 138,581,536
  4. Step 4: Simplify right side
    98,534,041x = 19,204,842,120,119,296
  5. Step 5: Solve for x
    x = 19,204,842,120,119,296/98,534,041
  6. Step 6: Final answer
    x = 194,905,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.