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Finding the Third Proportional to 129,812.63 and 196,448.63

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Solution

The third proportional to 129,812.63 and 196,448.63 is: 297,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,812.63 : 196,448.63 = 196,448.63 : x
  2. Step 2: Convert to fraction form
    129,812.63/196,448.63 = 196,448.63/x
  3. Step 3: Cross multiply
    129,812.63x = 196,448.63 × 196,448.63
  4. Step 4: Simplify right side
    129,812.63x = 38,592,062,264.39
  5. Step 5: Solve for x
    x = 38,592,062,264.39/129,812.63
  6. Step 6: Final answer
    x = 297,290.52

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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.