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Finding the Third Proportional to 39,300.19 and 84,832.31

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Solution

The third proportional to 39,300.19 and 84,832.31 is: 183,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,300.19 : 84,832.31 = 84,832.31 : x
  2. Step 2: Convert to fraction form
    39,300.19/84,832.31 = 84,832.31/x
  3. Step 3: Cross multiply
    39,300.19x = 84,832.31 × 84,832.31
  4. Step 4: Simplify right side
    39,300.19x = 7,196,521,244.10
  5. Step 5: Solve for x
    x = 7,196,521,244.10/39,300.19
  6. Step 6: Final answer
    x = 183,116.72

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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.