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Finding the Third Proportional to 185,229,645.75 and 402,743,101.50

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Solution

The third proportional to 185,229,645.75 and 402,743,101.50 is: 875,680,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,229,645.75 : 402,743,101.50 = 402,743,101.50 : x
  2. Step 2: Convert to fraction form
    185,229,645.75/402,743,101.50 = 402,743,101.50/x
  3. Step 3: Cross multiply
    185,229,645.75x = 402,743,101.50 × 402,743,101.50
  4. Step 4: Simplify right side
    185,229,645.75x = 162,202,005,805,839,296
  5. Step 5: Solve for x
    x = 162,202,005,805,839,296/185,229,645.75
  6. Step 6: Final answer
    x = 875,680,591.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.