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Finding the Third Proportional to 89,017,834 and 189,793,708

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Solution

The third proportional to 89,017,834 and 189,793,708 is: 404,656,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,017,834 : 189,793,708 = 189,793,708 : x
  2. Step 2: Convert to fraction form
    89,017,834/189,793,708 = 189,793,708/x
  3. Step 3: Cross multiply
    89,017,834x = 189,793,708 × 189,793,708
  4. Step 4: Simplify right side
    89,017,834x = 36,021,651,596,389,264
  5. Step 5: Solve for x
    x = 36,021,651,596,389,264/89,017,834
  6. Step 6: Final answer
    x = 404,656,572.48

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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.