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Finding the Third Proportional to 99,008 and 233,480

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Solution

The third proportional to 99,008 and 233,480 is: 550,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,008 : 233,480 = 233,480 : x
  2. Step 2: Convert to fraction form
    99,008/233,480 = 233,480/x
  3. Step 3: Cross multiply
    99,008x = 233,480 × 233,480
  4. Step 4: Simplify right side
    99,008x = 54,512,910,400
  5. Step 5: Solve for x
    x = 54,512,910,400/99,008
  6. Step 6: Final answer
    x = 550,590.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.