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Finding the Third Proportional to 107,856.56 and 235,396.13

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Solution

The third proportional to 107,856.56 and 235,396.13 is: 513,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,856.56 : 235,396.13 = 235,396.13 : x
  2. Step 2: Convert to fraction form
    107,856.56/235,396.13 = 235,396.13/x
  3. Step 3: Cross multiply
    107,856.56x = 235,396.13 × 235,396.13
  4. Step 4: Simplify right side
    107,856.56x = 55,411,335,665.02
  5. Step 5: Solve for x
    x = 55,411,335,665.02/107,856.56
  6. Step 6: Final answer
    x = 513,750.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.