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Finding the Third Proportional to 98,617.13 and 213,004.88

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Solution

The third proportional to 98,617.13 and 213,004.88 is: 460,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,617.13 : 213,004.88 = 213,004.88 : x
  2. Step 2: Convert to fraction form
    98,617.13/213,004.88 = 213,004.88/x
  3. Step 3: Cross multiply
    98,617.13x = 213,004.88 × 213,004.88
  4. Step 4: Simplify right side
    98,617.13x = 45,371,076,773.77
  5. Step 5: Solve for x
    x = 45,371,076,773.77/98,617.13
  6. Step 6: Final answer
    x = 460,073.00

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Why These Related Problems?

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