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Finding the Third Proportional to 152,890.88 and 220,223.81

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Solution

The third proportional to 152,890.88 and 220,223.81 is: 317,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,890.88 : 220,223.81 = 220,223.81 : x
  2. Step 2: Convert to fraction form
    152,890.88/220,223.81 = 220,223.81/x
  3. Step 3: Cross multiply
    152,890.88x = 220,223.81 × 220,223.81
  4. Step 4: Simplify right side
    152,890.88x = 48,498,527,592.04
  5. Step 5: Solve for x
    x = 48,498,527,592.04/152,890.88
  6. Step 6: Final answer
    x = 317,210.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.