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Finding the Third Proportional to 93,008.25 and 201,872.25

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Solution

The third proportional to 93,008.25 and 201,872.25 is: 438,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,008.25 : 201,872.25 = 201,872.25 : x
  2. Step 2: Convert to fraction form
    93,008.25/201,872.25 = 201,872.25/x
  3. Step 3: Cross multiply
    93,008.25x = 201,872.25 × 201,872.25
  4. Step 4: Simplify right side
    93,008.25x = 40,752,405,320.06
  5. Step 5: Solve for x
    x = 40,752,405,320.06/93,008.25
  6. Step 6: Final answer
    x = 438,159.04

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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.