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Finding the Third Proportional to 128,565.19 and 196,110.94

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Solution

The third proportional to 128,565.19 and 196,110.94 is: 299,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,565.19 : 196,110.94 = 196,110.94 : x
  2. Step 2: Convert to fraction form
    128,565.19/196,110.94 = 196,110.94/x
  3. Step 3: Cross multiply
    128,565.19x = 196,110.94 × 196,110.94
  4. Step 4: Simplify right side
    128,565.19x = 38,459,499,807.13
  5. Step 5: Solve for x
    x = 38,459,499,807.13/128,565.19
  6. Step 6: Final answer
    x = 299,143.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.