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Finding the Third Proportional to 90,429.75 and 183,323.25

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Solution

The third proportional to 90,429.75 and 183,323.25 is: 371,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,429.75 : 183,323.25 = 183,323.25 : x
  2. Step 2: Convert to fraction form
    90,429.75/183,323.25 = 183,323.25/x
  3. Step 3: Cross multiply
    90,429.75x = 183,323.25 × 183,323.25
  4. Step 4: Simplify right side
    90,429.75x = 33,607,413,990.56
  5. Step 5: Solve for x
    x = 33,607,413,990.56/90,429.75
  6. Step 6: Final answer
    x = 371,641.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.