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Finding the Third Proportional to 43,309.50 and 93,066

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Solution

The third proportional to 43,309.50 and 93,066 is: 199,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309.50 : 93,066 = 93,066 : x
  2. Step 2: Convert to fraction form
    43,309.50/93,066 = 93,066/x
  3. Step 3: Cross multiply
    43,309.50x = 93,066 × 93,066
  4. Step 4: Simplify right side
    43,309.50x = 8,661,280,356
  5. Step 5: Solve for x
    x = 8,661,280,356/43,309.50
  6. Step 6: Final answer
    x = 199,985.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.