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Finding the Third Proportional to 98,829.75 and 211,599.75

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Solution

The third proportional to 98,829.75 and 211,599.75 is: 453,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,829.75 : 211,599.75 = 211,599.75 : x
  2. Step 2: Convert to fraction form
    98,829.75/211,599.75 = 211,599.75/x
  3. Step 3: Cross multiply
    98,829.75x = 211,599.75 × 211,599.75
  4. Step 4: Simplify right side
    98,829.75x = 44,774,454,200.06
  5. Step 5: Solve for x
    x = 44,774,454,200.06/98,829.75
  6. Step 6: Final answer
    x = 453,046.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.