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Finding the Third Proportional to 89,049,565 and 136,222,744

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Solution

The third proportional to 89,049,565 and 136,222,744 is: 208,385,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,049,565 : 136,222,744 = 136,222,744 : x
  2. Step 2: Convert to fraction form
    89,049,565/136,222,744 = 136,222,744/x
  3. Step 3: Cross multiply
    89,049,565x = 136,222,744 × 136,222,744
  4. Step 4: Simplify right side
    89,049,565x = 18,556,635,982,889,536
  5. Step 5: Solve for x
    x = 18,556,635,982,889,536/89,049,565
  6. Step 6: Final answer
    x = 208,385,475.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.