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Finding the Third Proportional to 64,468.13 and 138,458.25

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Solution

The third proportional to 64,468.13 and 138,458.25 is: 297,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,468.13 : 138,458.25 = 138,458.25 : x
  2. Step 2: Convert to fraction form
    64,468.13/138,458.25 = 138,458.25/x
  3. Step 3: Cross multiply
    64,468.13x = 138,458.25 × 138,458.25
  4. Step 4: Simplify right side
    64,468.13x = 19,170,686,993.06
  5. Step 5: Solve for x
    x = 19,170,686,993.06/64,468.13
  6. Step 6: Final answer
    x = 297,366.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.