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Finding the Third Proportional to 231,186,716 and 317,019,371

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Solution

The third proportional to 231,186,716 and 317,019,371 is: 434,719,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,186,716 : 317,019,371 = 317,019,371 : x
  2. Step 2: Convert to fraction form
    231,186,716/317,019,371 = 317,019,371/x
  3. Step 3: Cross multiply
    231,186,716x = 317,019,371 × 317,019,371
  4. Step 4: Simplify right side
    231,186,716x = 100,501,281,589,235,648
  5. Step 5: Solve for x
    x = 100,501,281,589,235,648/231,186,716
  6. Step 6: Final answer
    x = 434,719,102.07

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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.