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Finding the Third Proportional to 90,092,752.50 and 196,699,542

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Solution

The third proportional to 90,092,752.50 and 196,699,542 is: 429,454,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,092,752.50 : 196,699,542 = 196,699,542 : x
  2. Step 2: Convert to fraction form
    90,092,752.50/196,699,542 = 196,699,542/x
  3. Step 3: Cross multiply
    90,092,752.50x = 196,699,542 × 196,699,542
  4. Step 4: Simplify right side
    90,092,752.50x = 38,690,709,823,009,760
  5. Step 5: Solve for x
    x = 38,690,709,823,009,760/90,092,752.50
  6. Step 6: Final answer
    x = 429,454,187.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.