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Finding the Third Proportional to 71,989,319.25 and 115,926,514.88

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Solution

The third proportional to 71,989,319.25 and 115,926,514.88 is: 186,679,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,989,319.25 : 115,926,514.88 = 115,926,514.88 : x
  2. Step 2: Convert to fraction form
    71,989,319.25/115,926,514.88 = 115,926,514.88/x
  3. Step 3: Cross multiply
    71,989,319.25x = 115,926,514.88 × 115,926,514.88
  4. Step 4: Simplify right side
    71,989,319.25x = 13,438,956,851,063,596
  5. Step 5: Solve for x
    x = 13,438,956,851,063,596/71,989,319.25
  6. Step 6: Final answer
    x = 186,679,871.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.