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Finding the Third Proportional to 84,744.63 and 182,461.87

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Solution

The third proportional to 84,744.63 and 182,461.87 is: 392,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744.63 : 182,461.87 = 182,461.87 : x
  2. Step 2: Convert to fraction form
    84,744.63/182,461.87 = 182,461.87/x
  3. Step 3: Cross multiply
    84,744.63x = 182,461.87 × 182,461.87
  4. Step 4: Simplify right side
    84,744.63x = 33,292,333,828.11
  5. Step 5: Solve for x
    x = 33,292,333,828.11/84,744.63
  6. Step 6: Final answer
    x = 392,854.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.