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Finding the Third Proportional to 98,368.50 and 211,074

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Solution

The third proportional to 98,368.50 and 211,074 is: 452,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,368.50 : 211,074 = 211,074 : x
  2. Step 2: Convert to fraction form
    98,368.50/211,074 = 211,074/x
  3. Step 3: Cross multiply
    98,368.50x = 211,074 × 211,074
  4. Step 4: Simplify right side
    98,368.50x = 44,552,233,476
  5. Step 5: Solve for x
    x = 44,552,233,476/98,368.50
  6. Step 6: Final answer
    x = 452,911.59

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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.