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Finding the Third Proportional to 83,423 and 179,968.50

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Solution

The third proportional to 83,423 and 179,968.50 is: 388,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,423 : 179,968.50 = 179,968.50 : x
  2. Step 2: Convert to fraction form
    83,423/179,968.50 = 179,968.50/x
  3. Step 3: Cross multiply
    83,423x = 179,968.50 × 179,968.50
  4. Step 4: Simplify right side
    83,423x = 32,388,660,992.25
  5. Step 5: Solve for x
    x = 32,388,660,992.25/83,423
  6. Step 6: Final answer
    x = 388,246.18

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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.