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Finding the Third Proportional to 145,109.75 and 219,859.19

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Solution

The third proportional to 145,109.75 and 219,859.19 is: 333,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,109.75 : 219,859.19 = 219,859.19 : x
  2. Step 2: Convert to fraction form
    145,109.75/219,859.19 = 219,859.19/x
  3. Step 3: Cross multiply
    145,109.75x = 219,859.19 × 219,859.19
  4. Step 4: Simplify right side
    145,109.75x = 48,338,062,328.16
  5. Step 5: Solve for x
    x = 48,338,062,328.16/145,109.75
  6. Step 6: Final answer
    x = 333,113.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.