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Finding the Third Proportional to 152,050.50 and 219,023.88

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Solution

The third proportional to 152,050.50 and 219,023.88 is: 315,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,050.50 : 219,023.88 = 219,023.88 : x
  2. Step 2: Convert to fraction form
    152,050.50/219,023.88 = 219,023.88/x
  3. Step 3: Cross multiply
    152,050.50x = 219,023.88 × 219,023.88
  4. Step 4: Simplify right side
    152,050.50x = 47,971,457,820.02
  5. Step 5: Solve for x
    x = 47,971,457,820.02/152,050.50
  6. Step 6: Final answer
    x = 315,496.88

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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.