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Finding the Third Proportional to 130,150.13 and 196,864.13

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Solution

The third proportional to 130,150.13 and 196,864.13 is: 297,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,150.13 : 196,864.13 = 196,864.13 : x
  2. Step 2: Convert to fraction form
    130,150.13/196,864.13 = 196,864.13/x
  3. Step 3: Cross multiply
    130,150.13x = 196,864.13 × 196,864.13
  4. Step 4: Simplify right side
    130,150.13x = 38,755,483,712.02
  5. Step 5: Solve for x
    x = 38,755,483,712.02/130,150.13
  6. Step 6: Final answer
    x = 297,775.23

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Why These Related Problems?

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