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Finding the Third Proportional to 125,240,560 and 269,001,680

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Solution

The third proportional to 125,240,560 and 269,001,680 is: 577,783,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,240,560 : 269,001,680 = 269,001,680 : x
  2. Step 2: Convert to fraction form
    125,240,560/269,001,680 = 269,001,680/x
  3. Step 3: Cross multiply
    125,240,560x = 269,001,680 × 269,001,680
  4. Step 4: Simplify right side
    125,240,560x = 72,361,903,842,822,400
  5. Step 5: Solve for x
    x = 72,361,903,842,822,400/125,240,560
  6. Step 6: Final answer
    x = 577,783,298.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.