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Finding the Third Proportional to 48,360.38 and 106,528.50

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Solution

The third proportional to 48,360.38 and 106,528.50 is: 234,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,360.38 : 106,528.50 = 106,528.50 : x
  2. Step 2: Convert to fraction form
    48,360.38/106,528.50 = 106,528.50/x
  3. Step 3: Cross multiply
    48,360.38x = 106,528.50 × 106,528.50
  4. Step 4: Simplify right side
    48,360.38x = 11,348,321,312.25
  5. Step 5: Solve for x
    x = 11,348,321,312.25/48,360.38
  6. Step 6: Final answer
    x = 234,661.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.