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Finding the Third Proportional to 106,388,314 and 161,727,568

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Solution

The third proportional to 106,388,314 and 161,727,568 is: 245,852,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388,314 : 161,727,568 = 161,727,568 : x
  2. Step 2: Convert to fraction form
    106,388,314/161,727,568 = 161,727,568/x
  3. Step 3: Cross multiply
    106,388,314x = 161,727,568 × 161,727,568
  4. Step 4: Simplify right side
    106,388,314x = 26,155,806,251,194,624
  5. Step 5: Solve for x
    x = 26,155,806,251,194,624/106,388,314
  6. Step 6: Final answer
    x = 245,852,248.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.