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Finding the Third Proportional to 93,802.50 and 191,074.50

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Solution

The third proportional to 93,802.50 and 191,074.50 is: 389,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,802.50 : 191,074.50 = 191,074.50 : x
  2. Step 2: Convert to fraction form
    93,802.50/191,074.50 = 191,074.50/x
  3. Step 3: Cross multiply
    93,802.50x = 191,074.50 × 191,074.50
  4. Step 4: Simplify right side
    93,802.50x = 36,509,464,550.25
  5. Step 5: Solve for x
    x = 36,509,464,550.25/93,802.50
  6. Step 6: Final answer
    x = 389,216.33

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.