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Finding the Third Proportional to 45,498,910 and 97,375,110

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Solution

The third proportional to 45,498,910 and 97,375,110 is: 208,398,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,910 : 97,375,110 = 97,375,110 : x
  2. Step 2: Convert to fraction form
    45,498,910/97,375,110 = 97,375,110/x
  3. Step 3: Cross multiply
    45,498,910x = 97,375,110 × 97,375,110
  4. Step 4: Simplify right side
    45,498,910x = 9,481,912,047,512,100
  5. Step 5: Solve for x
    x = 9,481,912,047,512,100/45,498,910
  6. Step 6: Final answer
    x = 208,398,663.78

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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.