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Finding the Third Proportional to 45,498,902 and 97,375,097

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Solution

The third proportional to 45,498,902 and 97,375,097 is: 208,398,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,902 : 97,375,097 = 97,375,097 : x
  2. Step 2: Convert to fraction form
    45,498,902/97,375,097 = 97,375,097/x
  3. Step 3: Cross multiply
    45,498,902x = 97,375,097 × 97,375,097
  4. Step 4: Simplify right side
    45,498,902x = 9,481,909,515,759,408
  5. Step 5: Solve for x
    x = 9,481,909,515,759,408/45,498,902
  6. Step 6: Final answer
    x = 208,398,644.78

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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.