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Finding the Third Proportional to 45,498,918 and 97,375,126

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Solution

The third proportional to 45,498,918 and 97,375,126 is: 208,398,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,918 : 97,375,126 = 97,375,126 : x
  2. Step 2: Convert to fraction form
    45,498,918/97,375,126 = 97,375,126/x
  3. Step 3: Cross multiply
    45,498,918x = 97,375,126 × 97,375,126
  4. Step 4: Simplify right side
    45,498,918x = 9,481,915,163,515,876
  5. Step 5: Solve for x
    x = 9,481,915,163,515,876/45,498,918
  6. Step 6: Final answer
    x = 208,398,695.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.