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Finding the Third Proportional to 231,186,714 and 317,019,368

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Solution

The third proportional to 231,186,714 and 317,019,368 is: 434,719,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,186,714 : 317,019,368 = 317,019,368 : x
  2. Step 2: Convert to fraction form
    231,186,714/317,019,368 = 317,019,368/x
  3. Step 3: Cross multiply
    231,186,714x = 317,019,368 × 317,019,368
  4. Step 4: Simplify right side
    231,186,714x = 100,501,279,687,119,424
  5. Step 5: Solve for x
    x = 100,501,279,687,119,424/231,186,714
  6. Step 6: Final answer
    x = 434,719,097.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.