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Finding the Third Proportional to 80,887,279,988 and 175,853,423,416

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Solution

The third proportional to 80,887,279,988 and 175,853,423,416 is: 382,315,075,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,887,279,988 : 175,853,423,416 = 175,853,423,416 : x
  2. Step 2: Convert to fraction form
    80,887,279,988/175,853,423,416 = 175,853,423,416/x
  3. Step 3: Cross multiply
    80,887,279,988x = 175,853,423,416 × 175,853,423,416
  4. Step 4: Simplify right side
    80,887,279,988x = 30,924,426,527,126,977,511,424
  5. Step 5: Solve for x
    x = 30,924,426,527,126,977,511,424/80,887,279,988
  6. Step 6: Final answer
    x = 382,315,075,147.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.