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Finding the Third Proportional to 185,229,730.13 and 402,743,269.13

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Solution

The third proportional to 185,229,730.13 and 402,743,269.13 is: 875,680,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,229,730.13 : 402,743,269.13 = 402,743,269.13 : x
  2. Step 2: Convert to fraction form
    185,229,730.13/402,743,269.13 = 402,743,269.13/x
  3. Step 3: Cross multiply
    185,229,730.13x = 402,743,269.13 × 402,743,269.13
  4. Step 4: Simplify right side
    185,229,730.13x = 162,202,140,825,492,192
  5. Step 5: Solve for x
    x = 162,202,140,825,492,192/185,229,730.13
  6. Step 6: Final answer
    x = 875,680,921.83

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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.