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Finding the Third Proportional to 48,650.63 and 105,608.81

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Solution

The third proportional to 48,650.63 and 105,608.81 is: 229,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,650.63 : 105,608.81 = 105,608.81 : x
  2. Step 2: Convert to fraction form
    48,650.63/105,608.81 = 105,608.81/x
  3. Step 3: Cross multiply
    48,650.63x = 105,608.81 × 105,608.81
  4. Step 4: Simplify right side
    48,650.63x = 11,153,221,277.66
  5. Step 5: Solve for x
    x = 11,153,221,277.66/48,650.63
  6. Step 6: Final answer
    x = 229,251.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.