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Finding the Third Proportional to 84,028.50 and 183,790.13

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Solution

The third proportional to 84,028.50 and 183,790.13 is: 401,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,028.50 : 183,790.13 = 183,790.13 : x
  2. Step 2: Convert to fraction form
    84,028.50/183,790.13 = 183,790.13/x
  3. Step 3: Cross multiply
    84,028.50x = 183,790.13 × 183,790.13
  4. Step 4: Simplify right side
    84,028.50x = 33,778,810,047.52
  5. Step 5: Solve for x
    x = 33,778,810,047.52/84,028.50
  6. Step 6: Final answer
    x = 401,992.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.