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Finding the Third Proportional to 93,357 and 201,186

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Solution

The third proportional to 93,357 and 201,186 is: 433,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,357 : 201,186 = 201,186 : x
  2. Step 2: Convert to fraction form
    93,357/201,186 = 201,186/x
  3. Step 3: Cross multiply
    93,357x = 201,186 × 201,186
  4. Step 4: Simplify right side
    93,357x = 40,475,806,596
  5. Step 5: Solve for x
    x = 40,475,806,596/93,357
  6. Step 6: Final answer
    x = 433,559.42

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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.