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Finding the Third Proportional to 98,182.13 and 208,048.50

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Solution

The third proportional to 98,182.13 and 208,048.50 is: 440,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182.13 : 208,048.50 = 208,048.50 : x
  2. Step 2: Convert to fraction form
    98,182.13/208,048.50 = 208,048.50/x
  3. Step 3: Cross multiply
    98,182.13x = 208,048.50 × 208,048.50
  4. Step 4: Simplify right side
    98,182.13x = 43,284,178,352.25
  5. Step 5: Solve for x
    x = 43,284,178,352.25/98,182.13
  6. Step 6: Final answer
    x = 440,855.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.