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Finding the Third Proportional to 93,700 and 205,832

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Solution

The third proportional to 93,700 and 205,832 is: 452,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,700 : 205,832 = 205,832 : x
  2. Step 2: Convert to fraction form
    93,700/205,832 = 205,832/x
  3. Step 3: Cross multiply
    93,700x = 205,832 × 205,832
  4. Step 4: Simplify right side
    93,700x = 42,366,812,224
  5. Step 5: Solve for x
    x = 42,366,812,224/93,700
  6. Step 6: Final answer
    x = 452,153.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.