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Finding the Third Proportional to 138,680,232 and 300,471,600

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Solution

The third proportional to 138,680,232 and 300,471,600 is: 651,016,955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,680,232 : 300,471,600 = 300,471,600 : x
  2. Step 2: Convert to fraction form
    138,680,232/300,471,600 = 300,471,600/x
  3. Step 3: Cross multiply
    138,680,232x = 300,471,600 × 300,471,600
  4. Step 4: Simplify right side
    138,680,232x = 90,283,182,406,560,000
  5. Step 5: Solve for x
    x = 90,283,182,406,560,000/138,680,232
  6. Step 6: Final answer
    x = 651,016,955.37

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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.