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Finding the Third Proportional to 98,106.75 and 211,893.75

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Solution

The third proportional to 98,106.75 and 211,893.75 is: 457,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,106.75 : 211,893.75 = 211,893.75 : x
  2. Step 2: Convert to fraction form
    98,106.75/211,893.75 = 211,893.75/x
  3. Step 3: Cross multiply
    98,106.75x = 211,893.75 × 211,893.75
  4. Step 4: Simplify right side
    98,106.75x = 44,898,961,289.06
  5. Step 5: Solve for x
    x = 44,898,961,289.06/98,106.75
  6. Step 6: Final answer
    x = 457,654.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.