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Finding the Third Proportional to 91,596 and 200,904

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Solution

The third proportional to 91,596 and 200,904 is: 440,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,596 : 200,904 = 200,904 : x
  2. Step 2: Convert to fraction form
    91,596/200,904 = 200,904/x
  3. Step 3: Cross multiply
    91,596x = 200,904 × 200,904
  4. Step 4: Simplify right side
    91,596x = 40,362,417,216
  5. Step 5: Solve for x
    x = 40,362,417,216/91,596
  6. Step 6: Final answer
    x = 440,656.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.