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Finding the Third Proportional to 93,232 and 201,206

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Solution

The third proportional to 93,232 and 201,206 is: 434,227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,232 : 201,206 = 201,206 : x
  2. Step 2: Convert to fraction form
    93,232/201,206 = 201,206/x
  3. Step 3: Cross multiply
    93,232x = 201,206 × 201,206
  4. Step 4: Simplify right side
    93,232x = 40,483,854,436
  5. Step 5: Solve for x
    x = 40,483,854,436/93,232
  6. Step 6: Final answer
    x = 434,227.03

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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.