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Finding the Third Proportional to 92,155 and 200,699

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Solution

The third proportional to 92,155 and 200,699 is: 437,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,155 : 200,699 = 200,699 : x
  2. Step 2: Convert to fraction form
    92,155/200,699 = 200,699/x
  3. Step 3: Cross multiply
    92,155x = 200,699 × 200,699
  4. Step 4: Simplify right side
    92,155x = 40,280,088,601
  5. Step 5: Solve for x
    x = 40,280,088,601/92,155
  6. Step 6: Final answer
    x = 437,090.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.