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Finding the Third Proportional to 130,199 and 196,695

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Solution

The third proportional to 130,199 and 196,695 is: 297,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,199 : 196,695 = 196,695 : x
  2. Step 2: Convert to fraction form
    130,199/196,695 = 196,695/x
  3. Step 3: Cross multiply
    130,199x = 196,695 × 196,695
  4. Step 4: Simplify right side
    130,199x = 38,688,923,025
  5. Step 5: Solve for x
    x = 38,688,923,025/130,199
  6. Step 6: Final answer
    x = 297,152.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.