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Finding the Third Proportional to 93,716.16 and 205,669.97

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Solution

The third proportional to 93,716.16 and 205,669.97 is: 451,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,716.16 : 205,669.97 = 205,669.97 : x
  2. Step 2: Convert to fraction form
    93,716.16/205,669.97 = 205,669.97/x
  3. Step 3: Cross multiply
    93,716.16x = 205,669.97 × 205,669.97
  4. Step 4: Simplify right side
    93,716.16x = 42,300,136,045.63
  5. Step 5: Solve for x
    x = 42,300,136,045.63/93,716.16
  6. Step 6: Final answer
    x = 451,364.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.