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Finding the Third Proportional to 83,777.63 and 184,465.13

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Solution

The third proportional to 83,777.63 and 184,465.13 is: 406,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,777.63 : 184,465.13 = 184,465.13 : x
  2. Step 2: Convert to fraction form
    83,777.63/184,465.13 = 184,465.13/x
  3. Step 3: Cross multiply
    83,777.63x = 184,465.13 × 184,465.13
  4. Step 4: Simplify right side
    83,777.63x = 34,027,382,341.27
  5. Step 5: Solve for x
    x = 34,027,382,341.27/83,777.63
  6. Step 6: Final answer
    x = 406,163.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.