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Finding the Third Proportional to 152,050.22 and 219,023.53

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Solution

The third proportional to 152,050.22 and 219,023.53 is: 315,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,050.22 : 219,023.53 = 219,023.53 : x
  2. Step 2: Convert to fraction form
    152,050.22/219,023.53 = 219,023.53/x
  3. Step 3: Cross multiply
    152,050.22x = 219,023.53 × 219,023.53
  4. Step 4: Simplify right side
    152,050.22x = 47,971,307,241.22
  5. Step 5: Solve for x
    x = 47,971,307,241.22/152,050.22
  6. Step 6: Final answer
    x = 315,496.47

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Why These Related Problems?

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