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Finding the Third Proportional to 83,565,436.50 and 196,625,945.25

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Solution

The third proportional to 83,565,436.50 and 196,625,945.25 is: 462,652,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565,436.50 : 196,625,945.25 = 196,625,945.25 : x
  2. Step 2: Convert to fraction form
    83,565,436.50/196,625,945.25 = 196,625,945.25/x
  3. Step 3: Cross multiply
    83,565,436.50x = 196,625,945.25 × 196,625,945.25
  4. Step 4: Simplify right side
    83,565,436.50x = 38,661,762,345,456,000
  5. Step 5: Solve for x
    x = 38,661,762,345,456,000/83,565,436.50
  6. Step 6: Final answer
    x = 462,652,550.68

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.