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Finding the Third Proportional to 93,769 and 202,196

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Solution

The third proportional to 93,769 and 202,196 is: 435,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,769 : 202,196 = 202,196 : x
  2. Step 2: Convert to fraction form
    93,769/202,196 = 202,196/x
  3. Step 3: Cross multiply
    93,769x = 202,196 × 202,196
  4. Step 4: Simplify right side
    93,769x = 40,883,222,416
  5. Step 5: Solve for x
    x = 40,883,222,416/93,769
  6. Step 6: Final answer
    x = 435,999.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.