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Finding the Third Proportional to 92,460 and 216,084

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Solution

The third proportional to 92,460 and 216,084 is: 504,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,460 : 216,084 = 216,084 : x
  2. Step 2: Convert to fraction form
    92,460/216,084 = 216,084/x
  3. Step 3: Cross multiply
    92,460x = 216,084 × 216,084
  4. Step 4: Simplify right side
    92,460x = 46,692,295,056
  5. Step 5: Solve for x
    x = 46,692,295,056/92,460
  6. Step 6: Final answer
    x = 504,999.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.