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Finding the Third Proportional to 109,220 and 164,833.50

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Solution

The third proportional to 109,220 and 164,833.50 is: 248,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,220 : 164,833.50 = 164,833.50 : x
  2. Step 2: Convert to fraction form
    109,220/164,833.50 = 164,833.50/x
  3. Step 3: Cross multiply
    109,220x = 164,833.50 × 164,833.50
  4. Step 4: Simplify right side
    109,220x = 27,170,082,722.25
  5. Step 5: Solve for x
    x = 27,170,082,722.25/109,220
  6. Step 6: Final answer
    x = 248,764.72

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