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Finding the Third Proportional to 89,773,876.50 and 193,396,569

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Solution

The third proportional to 89,773,876.50 and 193,396,569 is: 416,627,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,773,876.50 : 193,396,569 = 193,396,569 : x
  2. Step 2: Convert to fraction form
    89,773,876.50/193,396,569 = 193,396,569/x
  3. Step 3: Cross multiply
    89,773,876.50x = 193,396,569 × 193,396,569
  4. Step 4: Simplify right side
    89,773,876.50x = 37,402,232,900,971,760
  5. Step 5: Solve for x
    x = 37,402,232,900,971,760/89,773,876.50
  6. Step 6: Final answer
    x = 416,627,134.30

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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.