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Finding the Third Proportional to 45,498,920 and 97,375,130

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Solution

The third proportional to 45,498,920 and 97,375,130 is: 208,398,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,920 : 97,375,130 = 97,375,130 : x
  2. Step 2: Convert to fraction form
    45,498,920/97,375,130 = 97,375,130/x
  3. Step 3: Cross multiply
    45,498,920x = 97,375,130 × 97,375,130
  4. Step 4: Simplify right side
    45,498,920x = 9,481,915,942,516,900
  5. Step 5: Solve for x
    x = 9,481,915,942,516,900/45,498,920
  6. Step 6: Final answer
    x = 208,398,703.58

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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.