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Finding the Third Proportional to 205,215,247.13 and 451,473,139.13

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Solution

The third proportional to 205,215,247.13 and 451,473,139.13 is: 993,240,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,215,247.13 : 451,473,139.13 = 451,473,139.13 : x
  2. Step 2: Convert to fraction form
    205,215,247.13/451,473,139.13 = 451,473,139.13/x
  3. Step 3: Cross multiply
    205,215,247.13x = 451,473,139.13 × 451,473,139.13
  4. Step 4: Simplify right side
    205,215,247.13x = 203,827,995,351,381,600
  5. Step 5: Solve for x
    x = 203,827,995,351,381,600/205,215,247.13
  6. Step 6: Final answer
    x = 993,240,016.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.