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Finding the Third Proportional to 98,541 and 211,844.25

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Solution

The third proportional to 98,541 and 211,844.25 is: 455,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541 : 211,844.25 = 211,844.25 : x
  2. Step 2: Convert to fraction form
    98,541/211,844.25 = 211,844.25/x
  3. Step 3: Cross multiply
    98,541x = 211,844.25 × 211,844.25
  4. Step 4: Simplify right side
    98,541x = 44,877,986,258.06
  5. Step 5: Solve for x
    x = 44,877,986,258.06/98,541
  6. Step 6: Final answer
    x = 455,424.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.