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Finding the Third Proportional to 89,904 and 197,088

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Solution

The third proportional to 89,904 and 197,088 is: 432,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,904 : 197,088 = 197,088 : x
  2. Step 2: Convert to fraction form
    89,904/197,088 = 197,088/x
  3. Step 3: Cross multiply
    89,904x = 197,088 × 197,088
  4. Step 4: Simplify right side
    89,904x = 38,843,679,744
  5. Step 5: Solve for x
    x = 38,843,679,744/89,904
  6. Step 6: Final answer
    x = 432,057.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.