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Finding the Third Proportional to 93,293 and 201,165.50

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Solution

The third proportional to 93,293 and 201,165.50 is: 433,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,293 : 201,165.50 = 201,165.50 : x
  2. Step 2: Convert to fraction form
    93,293/201,165.50 = 201,165.50/x
  3. Step 3: Cross multiply
    93,293x = 201,165.50 × 201,165.50
  4. Step 4: Simplify right side
    93,293x = 40,467,558,390.25
  5. Step 5: Solve for x
    x = 40,467,558,390.25/93,293
  6. Step 6: Final answer
    x = 433,768.43

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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.