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Finding the Third Proportional to 103,976,830 and 225,291,746

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Solution

The third proportional to 103,976,830 and 225,291,746 is: 488,150,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976,830 : 225,291,746 = 225,291,746 : x
  2. Step 2: Convert to fraction form
    103,976,830/225,291,746 = 225,291,746/x
  3. Step 3: Cross multiply
    103,976,830x = 225,291,746 × 225,291,746
  4. Step 4: Simplify right side
    103,976,830x = 50,756,370,815,728,512
  5. Step 5: Solve for x
    x = 50,756,370,815,728,512/103,976,830
  6. Step 6: Final answer
    x = 488,150,781.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.