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Finding the Third Proportional to 44,702.25 and 101,915.25

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Solution

The third proportional to 44,702.25 and 101,915.25 is: 232,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,702.25 : 101,915.25 = 101,915.25 : x
  2. Step 2: Convert to fraction form
    44,702.25/101,915.25 = 101,915.25/x
  3. Step 3: Cross multiply
    44,702.25x = 101,915.25 × 101,915.25
  4. Step 4: Simplify right side
    44,702.25x = 10,386,718,182.56
  5. Step 5: Solve for x
    x = 10,386,718,182.56/44,702.25
  6. Step 6: Final answer
    x = 232,353.36

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.