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Finding the Third Proportional to 64,206.50 and 98,816

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Solution

The third proportional to 64,206.50 and 98,816 is: 152,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.50 : 98,816 = 98,816 : x
  2. Step 2: Convert to fraction form
    64,206.50/98,816 = 98,816/x
  3. Step 3: Cross multiply
    64,206.50x = 98,816 × 98,816
  4. Step 4: Simplify right side
    64,206.50x = 9,764,601,856
  5. Step 5: Solve for x
    x = 9,764,601,856/64,206.50
  6. Step 6: Final answer
    x = 152,081.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.