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Finding the Third Proportional to 89,265 and 196,710

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Solution

The third proportional to 89,265 and 196,710 is: 433,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,265 : 196,710 = 196,710 : x
  2. Step 2: Convert to fraction form
    89,265/196,710 = 196,710/x
  3. Step 3: Cross multiply
    89,265x = 196,710 × 196,710
  4. Step 4: Simplify right side
    89,265x = 38,694,824,100
  5. Step 5: Solve for x
    x = 38,694,824,100/89,265
  6. Step 6: Final answer
    x = 433,482.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.