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Finding the Third Proportional to 94,844.25 and 201,359.25

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Solution

The third proportional to 94,844.25 and 201,359.25 is: 427,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,844.25 : 201,359.25 = 201,359.25 : x
  2. Step 2: Convert to fraction form
    94,844.25/201,359.25 = 201,359.25/x
  3. Step 3: Cross multiply
    94,844.25x = 201,359.25 × 201,359.25
  4. Step 4: Simplify right side
    94,844.25x = 40,545,547,560.56
  5. Step 5: Solve for x
    x = 40,545,547,560.56/94,844.25
  6. Step 6: Final answer
    x = 427,496.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.