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Finding the Third Proportional to 104,221,904 and 138,946,720

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Solution

The third proportional to 104,221,904 and 138,946,720 is: 185,241,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,221,904 : 138,946,720 = 138,946,720 : x
  2. Step 2: Convert to fraction form
    104,221,904/138,946,720 = 138,946,720/x
  3. Step 3: Cross multiply
    104,221,904x = 138,946,720 × 138,946,720
  4. Step 4: Simplify right side
    104,221,904x = 19,306,190,998,758,400
  5. Step 5: Solve for x
    x = 19,306,190,998,758,400/104,221,904
  6. Step 6: Final answer
    x = 185,241,204.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.