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Finding the Third Proportional to 48,045.66 and 101,627.16

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Solution

The third proportional to 48,045.66 and 101,627.16 is: 214,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,045.66 : 101,627.16 = 101,627.16 : x
  2. Step 2: Convert to fraction form
    48,045.66/101,627.16 = 101,627.16/x
  3. Step 3: Cross multiply
    48,045.66x = 101,627.16 × 101,627.16
  4. Step 4: Simplify right side
    48,045.66x = 10,328,078,887.46
  5. Step 5: Solve for x
    x = 10,328,078,887.46/48,045.66
  6. Step 6: Final answer
    x = 214,963.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.