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Finding the Third Proportional to 93,719 and 202,407

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Solution

The third proportional to 93,719 and 202,407 is: 437,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,719 : 202,407 = 202,407 : x
  2. Step 2: Convert to fraction form
    93,719/202,407 = 202,407/x
  3. Step 3: Cross multiply
    93,719x = 202,407 × 202,407
  4. Step 4: Simplify right side
    93,719x = 40,968,593,649
  5. Step 5: Solve for x
    x = 40,968,593,649/93,719
  6. Step 6: Final answer
    x = 437,142.88

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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.