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Finding the Third Proportional to 98,928 and 153,447.75

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Solution

The third proportional to 98,928 and 153,447.75 is: 238,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,928 : 153,447.75 = 153,447.75 : x
  2. Step 2: Convert to fraction form
    98,928/153,447.75 = 153,447.75/x
  3. Step 3: Cross multiply
    98,928x = 153,447.75 × 153,447.75
  4. Step 4: Simplify right side
    98,928x = 23,546,211,980.06
  5. Step 5: Solve for x
    x = 23,546,211,980.06/98,928
  6. Step 6: Final answer
    x = 238,013.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.