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Finding the Third Proportional to 89,676,024 and 193,105,596

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Solution

The third proportional to 89,676,024 and 193,105,596 is: 415,827,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676,024 : 193,105,596 = 193,105,596 : x
  2. Step 2: Convert to fraction form
    89,676,024/193,105,596 = 193,105,596/x
  3. Step 3: Cross multiply
    89,676,024x = 193,105,596 × 193,105,596
  4. Step 4: Simplify right side
    89,676,024x = 37,289,771,206,515,216
  5. Step 5: Solve for x
    x = 37,289,771,206,515,216/89,676,024
  6. Step 6: Final answer
    x = 415,827,659.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.