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Finding the Third Proportional to 83,490.75 and 184,987.13

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Solution

The third proportional to 83,490.75 and 184,987.13 is: 409,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490.75 : 184,987.13 = 184,987.13 : x
  2. Step 2: Convert to fraction form
    83,490.75/184,987.13 = 184,987.13/x
  3. Step 3: Cross multiply
    83,490.75x = 184,987.13 × 184,987.13
  4. Step 4: Simplify right side
    83,490.75x = 34,220,236,415.77
  5. Step 5: Solve for x
    x = 34,220,236,415.77/83,490.75
  6. Step 6: Final answer
    x = 409,868.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.