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Finding the Third Proportional to 93,567 and 205,816.50

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Solution

The third proportional to 93,567 and 205,816.50 is: 452,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,567 : 205,816.50 = 205,816.50 : x
  2. Step 2: Convert to fraction form
    93,567/205,816.50 = 205,816.50/x
  3. Step 3: Cross multiply
    93,567x = 205,816.50 × 205,816.50
  4. Step 4: Simplify right side
    93,567x = 42,360,431,672.25
  5. Step 5: Solve for x
    x = 42,360,431,672.25/93,567
  6. Step 6: Final answer
    x = 452,728.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.