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Finding the Third Proportional to 93,584.25 and 202,934.25

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Solution

The third proportional to 93,584.25 and 202,934.25 is: 440,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,584.25 : 202,934.25 = 202,934.25 : x
  2. Step 2: Convert to fraction form
    93,584.25/202,934.25 = 202,934.25/x
  3. Step 3: Cross multiply
    93,584.25x = 202,934.25 × 202,934.25
  4. Step 4: Simplify right side
    93,584.25x = 41,182,309,823.06
  5. Step 5: Solve for x
    x = 41,182,309,823.06/93,584.25
  6. Step 6: Final answer
    x = 440,055.99

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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.