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Finding the Third Proportional to 101,793 and 153,805.50

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Solution

The third proportional to 101,793 and 153,805.50 is: 232,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,793 : 153,805.50 = 153,805.50 : x
  2. Step 2: Convert to fraction form
    101,793/153,805.50 = 153,805.50/x
  3. Step 3: Cross multiply
    101,793x = 153,805.50 × 153,805.50
  4. Step 4: Simplify right side
    101,793x = 23,656,131,830.25
  5. Step 5: Solve for x
    x = 23,656,131,830.25/101,793
  6. Step 6: Final answer
    x = 232,394.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.