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Finding the Third Proportional to 98,869 and 153,219

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Solution

The third proportional to 98,869 and 153,219 is: 237,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,869 : 153,219 = 153,219 : x
  2. Step 2: Convert to fraction form
    98,869/153,219 = 153,219/x
  3. Step 3: Cross multiply
    98,869x = 153,219 × 153,219
  4. Step 4: Simplify right side
    98,869x = 23,476,061,961
  5. Step 5: Solve for x
    x = 23,476,061,961/98,869
  6. Step 6: Final answer
    x = 237,446.14

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