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Finding the Third Proportional to 48,744.56 and 105,485.19

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Solution

The third proportional to 48,744.56 and 105,485.19 is: 228,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744.56 : 105,485.19 = 105,485.19 : x
  2. Step 2: Convert to fraction form
    48,744.56/105,485.19 = 105,485.19/x
  3. Step 3: Cross multiply
    48,744.56x = 105,485.19 × 105,485.19
  4. Step 4: Simplify right side
    48,744.56x = 11,127,124,781.91
  5. Step 5: Solve for x
    x = 11,127,124,781.91/48,744.56
  6. Step 6: Final answer
    x = 228,274.17

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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.