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Finding the Third Proportional to 80,269,272 and 175,873,776

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Solution

The third proportional to 80,269,272 and 175,873,776 is: 385,347,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,269,272 : 175,873,776 = 175,873,776 : x
  2. Step 2: Convert to fraction form
    80,269,272/175,873,776 = 175,873,776/x
  3. Step 3: Cross multiply
    80,269,272x = 175,873,776 × 175,873,776
  4. Step 4: Simplify right side
    80,269,272x = 30,931,585,084,498,176
  5. Step 5: Solve for x
    x = 30,931,585,084,498,176/80,269,272
  6. Step 6: Final answer
    x = 385,347,771.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.