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Finding the Third Proportional to 93,093 and 199,309.50

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Solution

The third proportional to 93,093 and 199,309.50 is: 426,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,093 : 199,309.50 = 199,309.50 : x
  2. Step 2: Convert to fraction form
    93,093/199,309.50 = 199,309.50/x
  3. Step 3: Cross multiply
    93,093x = 199,309.50 × 199,309.50
  4. Step 4: Simplify right side
    93,093x = 39,724,276,790.25
  5. Step 5: Solve for x
    x = 39,724,276,790.25/93,093
  6. Step 6: Final answer
    x = 426,716.05

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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.