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Finding the Third Proportional to 92,900 and 202,024

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Solution

The third proportional to 92,900 and 202,024 is: 439,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,900 : 202,024 = 202,024 : x
  2. Step 2: Convert to fraction form
    92,900/202,024 = 202,024/x
  3. Step 3: Cross multiply
    92,900x = 202,024 × 202,024
  4. Step 4: Simplify right side
    92,900x = 40,813,696,576
  5. Step 5: Solve for x
    x = 40,813,696,576/92,900
  6. Step 6: Final answer
    x = 439,329.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.