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Finding the Third Proportional to 89,017,859 and 189,793,755

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Solution

The third proportional to 89,017,859 and 189,793,755 is: 404,656,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,017,859 : 189,793,755 = 189,793,755 : x
  2. Step 2: Convert to fraction form
    89,017,859/189,793,755 = 189,793,755/x
  3. Step 3: Cross multiply
    89,017,859x = 189,793,755 × 189,793,755
  4. Step 4: Simplify right side
    89,017,859x = 36,021,669,437,000,024
  5. Step 5: Solve for x
    x = 36,021,669,437,000,024/89,017,859
  6. Step 6: Final answer
    x = 404,656,659.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.