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Finding the Third Proportional to 45,232.50 and 96,476.50

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Solution

The third proportional to 45,232.50 and 96,476.50 is: 205,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,232.50 : 96,476.50 = 96,476.50 : x
  2. Step 2: Convert to fraction form
    45,232.50/96,476.50 = 96,476.50/x
  3. Step 3: Cross multiply
    45,232.50x = 96,476.50 × 96,476.50
  4. Step 4: Simplify right side
    45,232.50x = 9,307,715,052.25
  5. Step 5: Solve for x
    x = 9,307,715,052.25/45,232.50
  6. Step 6: Final answer
    x = 205,774.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.