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Finding the Third Proportional to 131,705,271 and 292,857,761

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Solution

The third proportional to 131,705,271 and 292,857,761 is: 651,193,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,705,271 : 292,857,761 = 292,857,761 : x
  2. Step 2: Convert to fraction form
    131,705,271/292,857,761 = 292,857,761/x
  3. Step 3: Cross multiply
    131,705,271x = 292,857,761 × 292,857,761
  4. Step 4: Simplify right side
    131,705,271x = 85,765,668,177,933,120
  5. Step 5: Solve for x
    x = 85,765,668,177,933,120/131,705,271
  6. Step 6: Final answer
    x = 651,193,893.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.