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Finding the Third Proportional to 84,157.31 and 184,150.13

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Solution

The third proportional to 84,157.31 and 184,150.13 is: 402,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,157.31 : 184,150.13 = 184,150.13 : x
  2. Step 2: Convert to fraction form
    84,157.31/184,150.13 = 184,150.13/x
  3. Step 3: Cross multiply
    84,157.31x = 184,150.13 × 184,150.13
  4. Step 4: Simplify right side
    84,157.31x = 33,911,268,537.52
  5. Step 5: Solve for x
    x = 33,911,268,537.52/84,157.31
  6. Step 6: Final answer
    x = 402,950.94

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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.