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Finding the Third Proportional to 93,895 and 203,071

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Solution

The third proportional to 93,895 and 203,071 is: 439,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,895 : 203,071 = 203,071 : x
  2. Step 2: Convert to fraction form
    93,895/203,071 = 203,071/x
  3. Step 3: Cross multiply
    93,895x = 203,071 × 203,071
  4. Step 4: Simplify right side
    93,895x = 41,237,831,041
  5. Step 5: Solve for x
    x = 41,237,831,041/93,895
  6. Step 6: Final answer
    x = 439,190.92

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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.