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Finding the Third Proportional to 58,816.13 and 138,823.31

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Solution

The third proportional to 58,816.13 and 138,823.31 is: 327,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,816.13 : 138,823.31 = 138,823.31 : x
  2. Step 2: Convert to fraction form
    58,816.13/138,823.31 = 138,823.31/x
  3. Step 3: Cross multiply
    58,816.13x = 138,823.31 × 138,823.31
  4. Step 4: Simplify right side
    58,816.13x = 19,271,912,093.47
  5. Step 5: Solve for x
    x = 19,271,912,093.47/58,816.13
  6. Step 6: Final answer
    x = 327,663.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.