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Finding the Third Proportional to 93,636 and 205,416

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Solution

The third proportional to 93,636 and 205,416 is: 450,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,636 : 205,416 = 205,416 : x
  2. Step 2: Convert to fraction form
    93,636/205,416 = 205,416/x
  3. Step 3: Cross multiply
    93,636x = 205,416 × 205,416
  4. Step 4: Simplify right side
    93,636x = 42,195,733,056
  5. Step 5: Solve for x
    x = 42,195,733,056/93,636
  6. Step 6: Final answer
    x = 450,635.79

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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.