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Finding the Third Proportional to 130,384.69 and 196,214.91

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Solution

The third proportional to 130,384.69 and 196,214.91 is: 295,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,384.69 : 196,214.91 = 196,214.91 : x
  2. Step 2: Convert to fraction form
    130,384.69/196,214.91 = 196,214.91/x
  3. Step 3: Cross multiply
    130,384.69x = 196,214.91 × 196,214.91
  4. Step 4: Simplify right side
    130,384.69x = 38,500,289,434.70
  5. Step 5: Solve for x
    x = 38,500,289,434.70/130,384.69
  6. Step 6: Final answer
    x = 295,282.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.