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Finding the Third Proportional to 93,637.69 and 206,362.69

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Solution

The third proportional to 93,637.69 and 206,362.69 is: 454,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,637.69 : 206,362.69 = 206,362.69 : x
  2. Step 2: Convert to fraction form
    93,637.69/206,362.69 = 206,362.69/x
  3. Step 3: Cross multiply
    93,637.69x = 206,362.69 × 206,362.69
  4. Step 4: Simplify right side
    93,637.69x = 42,585,558,792.22
  5. Step 5: Solve for x
    x = 42,585,558,792.22/93,637.69
  6. Step 6: Final answer
    x = 454,790.80

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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.