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Finding the Third Proportional to 48,421.57 and 104,623.66

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Solution

The third proportional to 48,421.57 and 104,623.66 is: 226,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,421.57 : 104,623.66 = 104,623.66 : x
  2. Step 2: Convert to fraction form
    48,421.57/104,623.66 = 104,623.66/x
  3. Step 3: Cross multiply
    48,421.57x = 104,623.66 × 104,623.66
  4. Step 4: Simplify right side
    48,421.57x = 10,946,109,242.78
  5. Step 5: Solve for x
    x = 10,946,109,242.78/48,421.57
  6. Step 6: Final answer
    x = 226,058.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.