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Finding the Third Proportional to 47,328.75 and 101,223.75

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Solution

The third proportional to 47,328.75 and 101,223.75 is: 216,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328.75 : 101,223.75 = 101,223.75 : x
  2. Step 2: Convert to fraction form
    47,328.75/101,223.75 = 101,223.75/x
  3. Step 3: Cross multiply
    47,328.75x = 101,223.75 × 101,223.75
  4. Step 4: Simplify right side
    47,328.75x = 10,246,247,564.06
  5. Step 5: Solve for x
    x = 10,246,247,564.06/47,328.75
  6. Step 6: Final answer
    x = 216,490.98

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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.