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Finding the Third Proportional to 64,635,185.25 and 138,228,315.75

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Solution

The third proportional to 64,635,185.25 and 138,228,315.75 is: 295,614,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,635,185.25 : 138,228,315.75 = 138,228,315.75 : x
  2. Step 2: Convert to fraction form
    64,635,185.25/138,228,315.75 = 138,228,315.75/x
  3. Step 3: Cross multiply
    64,635,185.25x = 138,228,315.75 × 138,228,315.75
  4. Step 4: Simplify right side
    64,635,185.25x = 19,107,067,275,081,700
  5. Step 5: Solve for x
    x = 19,107,067,275,081,700/64,635,185.25
  6. Step 6: Final answer
    x = 295,614,025.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.