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Finding the Third Proportional to 359,198,110.50 and 774,463,246.13

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Solution

The third proportional to 359,198,110.50 and 774,463,246.13 is: 1,669,812,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,198,110.50 : 774,463,246.13 = 774,463,246.13 : x
  2. Step 2: Convert to fraction form
    359,198,110.50/774,463,246.13 = 774,463,246.13/x
  3. Step 3: Cross multiply
    359,198,110.50x = 774,463,246.13 × 774,463,246.13
  4. Step 4: Simplify right side
    359,198,110.50x = 599,793,319,598,472,320
  5. Step 5: Solve for x
    x = 599,793,319,598,472,320/359,198,110.50
  6. Step 6: Final answer
    x = 1,669,812,011.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.