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Finding the Third Proportional to 107,956.13 and 235,564.88

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Solution

The third proportional to 107,956.13 and 235,564.88 is: 514,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,956.13 : 235,564.88 = 235,564.88 : x
  2. Step 2: Convert to fraction form
    107,956.13/235,564.88 = 235,564.88/x
  3. Step 3: Cross multiply
    107,956.13x = 235,564.88 × 235,564.88
  4. Step 4: Simplify right side
    107,956.13x = 55,490,810,333.77
  5. Step 5: Solve for x
    x = 55,490,810,333.77/107,956.13
  6. Step 6: Final answer
    x = 514,012.62

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