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Finding the Third Proportional to 80,887,279,948 and 175,853,423,332

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Solution

The third proportional to 80,887,279,948 and 175,853,423,332 is: 382,315,074,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,887,279,948 : 175,853,423,332 = 175,853,423,332 : x
  2. Step 2: Convert to fraction form
    80,887,279,948/175,853,423,332 = 175,853,423,332/x
  3. Step 3: Cross multiply
    80,887,279,948x = 175,853,423,332 × 175,853,423,332
  4. Step 4: Simplify right side
    80,887,279,948x = 30,924,426,497,583,600,369,664
  5. Step 5: Solve for x
    x = 30,924,426,497,583,600,369,664/80,887,279,948
  6. Step 6: Final answer
    x = 382,315,074,971.79

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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.