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Finding the Third Proportional to 92,146.50 and 200,970

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Solution

The third proportional to 92,146.50 and 200,970 is: 438,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,146.50 : 200,970 = 200,970 : x
  2. Step 2: Convert to fraction form
    92,146.50/200,970 = 200,970/x
  3. Step 3: Cross multiply
    92,146.50x = 200,970 × 200,970
  4. Step 4: Simplify right side
    92,146.50x = 40,388,940,900
  5. Step 5: Solve for x
    x = 40,388,940,900/92,146.50
  6. Step 6: Final answer
    x = 438,312.26

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