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Finding the Third Proportional to 98,844 and 152,994

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Solution

The third proportional to 98,844 and 152,994 is: 236,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,844 : 152,994 = 152,994 : x
  2. Step 2: Convert to fraction form
    98,844/152,994 = 152,994/x
  3. Step 3: Cross multiply
    98,844x = 152,994 × 152,994
  4. Step 4: Simplify right side
    98,844x = 23,407,164,036
  5. Step 5: Solve for x
    x = 23,407,164,036/98,844
  6. Step 6: Final answer
    x = 236,809.15

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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.