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Finding the Third Proportional to 130,992.19 and 207,856.13

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Solution

The third proportional to 130,992.19 and 207,856.13 is: 329,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,992.19 : 207,856.13 = 207,856.13 : x
  2. Step 2: Convert to fraction form
    130,992.19/207,856.13 = 207,856.13/x
  3. Step 3: Cross multiply
    130,992.19x = 207,856.13 × 207,856.13
  4. Step 4: Simplify right side
    130,992.19x = 43,204,168,700.02
  5. Step 5: Solve for x
    x = 43,204,168,700.02/130,992.19
  6. Step 6: Final answer
    x = 329,822.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.