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Finding the Third Proportional to 259,727,158.13 and 571,398,846.75

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Solution

The third proportional to 259,727,158.13 and 571,398,846.75 is: 1,257,075,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,727,158.13 : 571,398,846.75 = 571,398,846.75 : x
  2. Step 2: Convert to fraction form
    259,727,158.13/571,398,846.75 = 571,398,846.75/x
  3. Step 3: Cross multiply
    259,727,158.13x = 571,398,846.75 × 571,398,846.75
  4. Step 4: Simplify right side
    259,727,158.13x = 326,496,642,067,230,016
  5. Step 5: Solve for x
    x = 326,496,642,067,230,016/259,727,158.13
  6. Step 6: Final answer
    x = 1,257,075,480.38

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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.