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Finding the Third Proportional to 41,408,548 and 89,718,119

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Solution

The third proportional to 41,408,548 and 89,718,119 is: 194,388,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408,548 : 89,718,119 = 89,718,119 : x
  2. Step 2: Convert to fraction form
    41,408,548/89,718,119 = 89,718,119/x
  3. Step 3: Cross multiply
    41,408,548x = 89,718,119 × 89,718,119
  4. Step 4: Simplify right side
    41,408,548x = 8,049,340,876,898,161
  5. Step 5: Solve for x
    x = 8,049,340,876,898,161/41,408,548
  6. Step 6: Final answer
    x = 194,388,387.56

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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.