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Finding the Third Proportional to 104,440.50 and 152,193.75

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Solution

The third proportional to 104,440.50 and 152,193.75 is: 221,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,440.50 : 152,193.75 = 152,193.75 : x
  2. Step 2: Convert to fraction form
    104,440.50/152,193.75 = 152,193.75/x
  3. Step 3: Cross multiply
    104,440.50x = 152,193.75 × 152,193.75
  4. Step 4: Simplify right side
    104,440.50x = 23,162,937,539.06
  5. Step 5: Solve for x
    x = 23,162,937,539.06/104,440.50
  6. Step 6: Final answer
    x = 221,781.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.