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Finding the Third Proportional to 84,176.72 and 184,178.81

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Solution

The third proportional to 84,176.72 and 184,178.81 is: 402,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176.72 : 184,178.81 = 184,178.81 : x
  2. Step 2: Convert to fraction form
    84,176.72/184,178.81 = 184,178.81/x
  3. Step 3: Cross multiply
    84,176.72x = 184,178.81 × 184,178.81
  4. Step 4: Simplify right side
    84,176.72x = 33,921,834,973.91
  5. Step 5: Solve for x
    x = 33,921,834,973.91/84,176.72
  6. Step 6: Final answer
    x = 402,983.57

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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.