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Finding the Third Proportional to 45,498,904 and 97,375,101

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Solution

The third proportional to 45,498,904 and 97,375,101 is: 208,398,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,904 : 97,375,101 = 97,375,101 : x
  2. Step 2: Convert to fraction form
    45,498,904/97,375,101 = 97,375,101/x
  3. Step 3: Cross multiply
    45,498,904x = 97,375,101 × 97,375,101
  4. Step 4: Simplify right side
    45,498,904x = 9,481,910,294,760,200
  5. Step 5: Solve for x
    x = 9,481,910,294,760,200/45,498,904
  6. Step 6: Final answer
    x = 208,398,652.74

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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.