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Finding the Third Proportional to 93,656 and 200,711

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Solution

The third proportional to 93,656 and 200,711 is: 430,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,656 : 200,711 = 200,711 : x
  2. Step 2: Convert to fraction form
    93,656/200,711 = 200,711/x
  3. Step 3: Cross multiply
    93,656x = 200,711 × 200,711
  4. Step 4: Simplify right side
    93,656x = 40,284,905,521
  5. Step 5: Solve for x
    x = 40,284,905,521/93,656
  6. Step 6: Final answer
    x = 430,136.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.