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Finding the Third Proportional to 55,836.84 and 115,466.77

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Solution

The third proportional to 55,836.84 and 115,466.77 is: 238,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836.84 : 115,466.77 = 115,466.77 : x
  2. Step 2: Convert to fraction form
    55,836.84/115,466.77 = 115,466.77/x
  3. Step 3: Cross multiply
    55,836.84x = 115,466.77 × 115,466.77
  4. Step 4: Simplify right side
    55,836.84x = 13,332,573,963.90
  5. Step 5: Solve for x
    x = 13,332,573,963.90/55,836.84
  6. Step 6: Final answer
    x = 238,777.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.