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Finding the Third Proportional to 189,399.94 and 408,844.13

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Solution

The third proportional to 189,399.94 and 408,844.13 is: 882,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,399.94 : 408,844.13 = 408,844.13 : x
  2. Step 2: Convert to fraction form
    189,399.94/408,844.13 = 408,844.13/x
  3. Step 3: Cross multiply
    189,399.94x = 408,844.13 × 408,844.13
  4. Step 4: Simplify right side
    189,399.94x = 167,153,518,547.02
  5. Step 5: Solve for x
    x = 167,153,518,547.02/189,399.94
  6. Step 6: Final answer
    x = 882,542.63

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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.