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Finding the Third Proportional to 138,420,514.13 and 300,605,838.75

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Solution

The third proportional to 138,420,514.13 and 300,605,838.75 is: 652,821,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420,514.13 : 300,605,838.75 = 300,605,838.75 : x
  2. Step 2: Convert to fraction form
    138,420,514.13/300,605,838.75 = 300,605,838.75/x
  3. Step 3: Cross multiply
    138,420,514.13x = 300,605,838.75 × 300,605,838.75
  4. Step 4: Simplify right side
    138,420,514.13x = 90,363,870,290,591,008
  5. Step 5: Solve for x
    x = 90,363,870,290,591,008/138,420,514.13
  6. Step 6: Final answer
    x = 652,821,374.50

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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.