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Finding the Third Proportional to 85,209,387.75 and 186,361,944.75

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Solution

The third proportional to 85,209,387.75 and 186,361,944.75 is: 407,593,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209,387.75 : 186,361,944.75 = 186,361,944.75 : x
  2. Step 2: Convert to fraction form
    85,209,387.75/186,361,944.75 = 186,361,944.75/x
  3. Step 3: Cross multiply
    85,209,387.75x = 186,361,944.75 × 186,361,944.75
  4. Step 4: Simplify right side
    85,209,387.75x = 34,730,774,451,002,052
  5. Step 5: Solve for x
    x = 34,730,774,451,002,052/85,209,387.75
  6. Step 6: Final answer
    x = 407,593,287.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.