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Finding the Third Proportional to 48,307.50 and 103,248.56

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Solution

The third proportional to 48,307.50 and 103,248.56 is: 220,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,307.50 : 103,248.56 = 103,248.56 : x
  2. Step 2: Convert to fraction form
    48,307.50/103,248.56 = 103,248.56/x
  3. Step 3: Cross multiply
    48,307.50x = 103,248.56 × 103,248.56
  4. Step 4: Simplify right side
    48,307.50x = 10,660,265,658.32
  5. Step 5: Solve for x
    x = 10,660,265,658.32/48,307.50
  6. Step 6: Final answer
    x = 220,675.17

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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.