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Finding the Third Proportional to 45,904.22 and 99,964.13

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Solution

The third proportional to 45,904.22 and 99,964.13 is: 217,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904.22 : 99,964.13 = 99,964.13 : x
  2. Step 2: Convert to fraction form
    45,904.22/99,964.13 = 99,964.13/x
  3. Step 3: Cross multiply
    45,904.22x = 99,964.13 × 99,964.13
  4. Step 4: Simplify right side
    45,904.22x = 9,992,826,287.02
  5. Step 5: Solve for x
    x = 9,992,826,287.02/45,904.22
  6. Step 6: Final answer
    x = 217,688.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.