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Finding the Third Proportional to 89,049,563 and 136,222,741

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Solution

The third proportional to 89,049,563 and 136,222,741 is: 208,385,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,049,563 : 136,222,741 = 136,222,741 : x
  2. Step 2: Convert to fraction form
    89,049,563/136,222,741 = 136,222,741/x
  3. Step 3: Cross multiply
    89,049,563x = 136,222,741 × 136,222,741
  4. Step 4: Simplify right side
    89,049,563x = 18,556,635,165,553,080
  5. Step 5: Solve for x
    x = 18,556,635,165,553,080/89,049,563
  6. Step 6: Final answer
    x = 208,385,471.42

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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.