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Finding the Third Proportional to 121,515.19 and 189,950.06

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Solution

The third proportional to 121,515.19 and 189,950.06 is: 296,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,515.19 : 189,950.06 = 189,950.06 : x
  2. Step 2: Convert to fraction form
    121,515.19/189,950.06 = 189,950.06/x
  3. Step 3: Cross multiply
    121,515.19x = 189,950.06 × 189,950.06
  4. Step 4: Simplify right side
    121,515.19x = 36,081,026,243.75
  5. Step 5: Solve for x
    x = 36,081,026,243.75/121,515.19
  6. Step 6: Final answer
    x = 296,926.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.