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Finding the Third Proportional to 97,065 and 200,322

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Solution

The third proportional to 97,065 and 200,322 is: 413,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,065 : 200,322 = 200,322 : x
  2. Step 2: Convert to fraction form
    97,065/200,322 = 200,322/x
  3. Step 3: Cross multiply
    97,065x = 200,322 × 200,322
  4. Step 4: Simplify right side
    97,065x = 40,128,903,684
  5. Step 5: Solve for x
    x = 40,128,903,684/97,065
  6. Step 6: Final answer
    x = 413,423.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.