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Finding the Third Proportional to 109,471.90 and 164,990.86

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Solution

The third proportional to 109,471.90 and 164,990.86 is: 248,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.90 : 164,990.86 = 164,990.86 : x
  2. Step 2: Convert to fraction form
    109,471.90/164,990.86 = 164,990.86/x
  3. Step 3: Cross multiply
    109,471.90x = 164,990.86 × 164,990.86
  4. Step 4: Simplify right side
    109,471.90x = 27,221,983,677.30
  5. Step 5: Solve for x
    x = 27,221,983,677.30/109,471.90
  6. Step 6: Final answer
    x = 248,666.41

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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.