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Finding the Third Proportional to 99,696.75 and 153,240.50

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Solution

The third proportional to 99,696.75 and 153,240.50 is: 235,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696.75 : 153,240.50 = 153,240.50 : x
  2. Step 2: Convert to fraction form
    99,696.75/153,240.50 = 153,240.50/x
  3. Step 3: Cross multiply
    99,696.75x = 153,240.50 × 153,240.50
  4. Step 4: Simplify right side
    99,696.75x = 23,482,650,840.25
  5. Step 5: Solve for x
    x = 23,482,650,840.25/99,696.75
  6. Step 6: Final answer
    x = 235,540.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.