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Finding the Third Proportional to 131,426,764 and 280,444,320

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Solution

The third proportional to 131,426,764 and 280,444,320 is: 598,424,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,426,764 : 280,444,320 = 280,444,320 : x
  2. Step 2: Convert to fraction form
    131,426,764/280,444,320 = 280,444,320/x
  3. Step 3: Cross multiply
    131,426,764x = 280,444,320 × 280,444,320
  4. Step 4: Simplify right side
    131,426,764x = 78,649,016,620,262,400
  5. Step 5: Solve for x
    x = 78,649,016,620,262,400/131,426,764
  6. Step 6: Final answer
    x = 598,424,660.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.