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Finding the Third Proportional to 93,882.50 and 208,754.50

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Solution

The third proportional to 93,882.50 and 208,754.50 is: 464,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,882.50 : 208,754.50 = 208,754.50 : x
  2. Step 2: Convert to fraction form
    93,882.50/208,754.50 = 208,754.50/x
  3. Step 3: Cross multiply
    93,882.50x = 208,754.50 × 208,754.50
  4. Step 4: Simplify right side
    93,882.50x = 43,578,441,270.25
  5. Step 5: Solve for x
    x = 43,578,441,270.25/93,882.50
  6. Step 6: Final answer
    x = 464,180.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.