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Finding the Third Proportional to 93,270 and 201,431

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Solution

The third proportional to 93,270 and 201,431 is: 435,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,270 : 201,431 = 201,431 : x
  2. Step 2: Convert to fraction form
    93,270/201,431 = 201,431/x
  3. Step 3: Cross multiply
    93,270x = 201,431 × 201,431
  4. Step 4: Simplify right side
    93,270x = 40,574,447,761
  5. Step 5: Solve for x
    x = 40,574,447,761/93,270
  6. Step 6: Final answer
    x = 435,021.42

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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.