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Finding the Third Proportional to 98,840.25 and 213,111

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Solution

The third proportional to 98,840.25 and 213,111 is: 459,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,840.25 : 213,111 = 213,111 : x
  2. Step 2: Convert to fraction form
    98,840.25/213,111 = 213,111/x
  3. Step 3: Cross multiply
    98,840.25x = 213,111 × 213,111
  4. Step 4: Simplify right side
    98,840.25x = 45,416,298,321
  5. Step 5: Solve for x
    x = 45,416,298,321/98,840.25
  6. Step 6: Final answer
    x = 459,491.94

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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.