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Finding the Third Proportional to 138,680,229 and 300,471,594

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Solution

The third proportional to 138,680,229 and 300,471,594 is: 651,016,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,680,229 : 300,471,594 = 300,471,594 : x
  2. Step 2: Convert to fraction form
    138,680,229/300,471,594 = 300,471,594/x
  3. Step 3: Cross multiply
    138,680,229x = 300,471,594 × 300,471,594
  4. Step 4: Simplify right side
    138,680,229x = 90,283,178,800,900,832
  5. Step 5: Solve for x
    x = 90,283,178,800,900,832/138,680,229
  6. Step 6: Final answer
    x = 651,016,943.45

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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.