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Finding the Third Proportional to 47,808 and 100,224

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Solution

The third proportional to 47,808 and 100,224 is: 210,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808 : 100,224 = 100,224 : x
  2. Step 2: Convert to fraction form
    47,808/100,224 = 100,224/x
  3. Step 3: Cross multiply
    47,808x = 100,224 × 100,224
  4. Step 4: Simplify right side
    47,808x = 10,044,850,176
  5. Step 5: Solve for x
    x = 10,044,850,176/47,808
  6. Step 6: Final answer
    x = 210,108.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.