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Finding the Third Proportional to 98,528.91 and 204,064.31

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Solution

The third proportional to 98,528.91 and 204,064.31 is: 422,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,528.91 : 204,064.31 = 204,064.31 : x
  2. Step 2: Convert to fraction form
    98,528.91/204,064.31 = 204,064.31/x
  3. Step 3: Cross multiply
    98,528.91x = 204,064.31 × 204,064.31
  4. Step 4: Simplify right side
    98,528.91x = 41,642,243,636.10
  5. Step 5: Solve for x
    x = 41,642,243,636.10/98,528.91
  6. Step 6: Final answer
    x = 422,639.87

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.