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Finding the Third Proportional to 137,969,448 and 300,433,314

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Solution

The third proportional to 137,969,448 and 300,433,314 is: 654,204,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969,448 : 300,433,314 = 300,433,314 : x
  2. Step 2: Convert to fraction form
    137,969,448/300,433,314 = 300,433,314/x
  3. Step 3: Cross multiply
    137,969,448x = 300,433,314 × 300,433,314
  4. Step 4: Simplify right side
    137,969,448x = 90,260,176,161,022,592
  5. Step 5: Solve for x
    x = 90,260,176,161,022,592/137,969,448
  6. Step 6: Final answer
    x = 654,204,082.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.