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Finding the Third Proportional to 94,252.50 and 201,808.50

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Solution

The third proportional to 94,252.50 and 201,808.50 is: 432,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,252.50 : 201,808.50 = 201,808.50 : x
  2. Step 2: Convert to fraction form
    94,252.50/201,808.50 = 201,808.50/x
  3. Step 3: Cross multiply
    94,252.50x = 201,808.50 × 201,808.50
  4. Step 4: Simplify right side
    94,252.50x = 40,726,670,672.25
  5. Step 5: Solve for x
    x = 40,726,670,672.25/94,252.50
  6. Step 6: Final answer
    x = 432,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.