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Finding the Third Proportional to 98,662.69 and 213,112.69

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Solution

The third proportional to 98,662.69 and 213,112.69 is: 460,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,662.69 : 213,112.69 = 213,112.69 : x
  2. Step 2: Convert to fraction form
    98,662.69/213,112.69 = 213,112.69/x
  3. Step 3: Cross multiply
    98,662.69x = 213,112.69 × 213,112.69
  4. Step 4: Simplify right side
    98,662.69x = 45,417,017,573.47
  5. Step 5: Solve for x
    x = 45,417,017,573.47/98,662.69
  6. Step 6: Final answer
    x = 460,326.18

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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.