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Finding the Third Proportional to 121,353.19 and 189,955.13

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Solution

The third proportional to 121,353.19 and 189,955.13 is: 297,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,353.19 : 189,955.13 = 189,955.13 : x
  2. Step 2: Convert to fraction form
    121,353.19/189,955.13 = 189,955.13/x
  3. Step 3: Cross multiply
    121,353.19x = 189,955.13 × 189,955.13
  4. Step 4: Simplify right side
    121,353.19x = 36,082,949,513.77
  5. Step 5: Solve for x
    x = 36,082,949,513.77/121,353.19
  6. Step 6: Final answer
    x = 297,338.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.