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Finding the Third Proportional to 93,864 and 205,224

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Solution

The third proportional to 93,864 and 205,224 is: 448,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,864 : 205,224 = 205,224 : x
  2. Step 2: Convert to fraction form
    93,864/205,224 = 205,224/x
  3. Step 3: Cross multiply
    93,864x = 205,224 × 205,224
  4. Step 4: Simplify right side
    93,864x = 42,116,890,176
  5. Step 5: Solve for x
    x = 42,116,890,176/93,864
  6. Step 6: Final answer
    x = 448,701.21

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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.