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Finding the Third Proportional to 83,345.63 and 179,720.44

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Solution

The third proportional to 83,345.63 and 179,720.44 is: 387,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,345.63 : 179,720.44 = 179,720.44 : x
  2. Step 2: Convert to fraction form
    83,345.63/179,720.44 = 179,720.44/x
  3. Step 3: Cross multiply
    83,345.63x = 179,720.44 × 179,720.44
  4. Step 4: Simplify right side
    83,345.63x = 32,299,435,655.19
  5. Step 5: Solve for x
    x = 32,299,435,655.19/83,345.63
  6. Step 6: Final answer
    x = 387,536.07

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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.