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Finding the Third Proportional to 92,329 and 201,739

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Solution

The third proportional to 92,329 and 201,739 is: 440,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,329 : 201,739 = 201,739 : x
  2. Step 2: Convert to fraction form
    92,329/201,739 = 201,739/x
  3. Step 3: Cross multiply
    92,329x = 201,739 × 201,739
  4. Step 4: Simplify right side
    92,329x = 40,698,624,121
  5. Step 5: Solve for x
    x = 40,698,624,121/92,329
  6. Step 6: Final answer
    x = 440,800.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.