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Finding the Third Proportional to 229,957,840.69 and 498,727,459.13

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Solution

The third proportional to 229,957,840.69 and 498,727,459.13 is: 1,081,629,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,957,840.69 : 498,727,459.13 = 498,727,459.13 : x
  2. Step 2: Convert to fraction form
    229,957,840.69/498,727,459.13 = 498,727,459.13/x
  3. Step 3: Cross multiply
    229,957,840.69x = 498,727,459.13 × 498,727,459.13
  4. Step 4: Simplify right side
    229,957,840.69x = 248,729,078,485,278,560
  5. Step 5: Solve for x
    x = 248,729,078,485,278,560/229,957,840.69
  6. Step 6: Final answer
    x = 1,081,629,040.10

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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.