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Finding the Third Proportional to 93,384.75 and 199,891.50

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Solution

The third proportional to 93,384.75 and 199,891.50 is: 427,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,384.75 : 199,891.50 = 199,891.50 : x
  2. Step 2: Convert to fraction form
    93,384.75/199,891.50 = 199,891.50/x
  3. Step 3: Cross multiply
    93,384.75x = 199,891.50 × 199,891.50
  4. Step 4: Simplify right side
    93,384.75x = 39,956,611,772.25
  5. Step 5: Solve for x
    x = 39,956,611,772.25/93,384.75
  6. Step 6: Final answer
    x = 427,870.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.