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Finding the Third Proportional to 109,218 and 164,830.50

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Solution

The third proportional to 109,218 and 164,830.50 is: 248,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218 : 164,830.50 = 164,830.50 : x
  2. Step 2: Convert to fraction form
    109,218/164,830.50 = 164,830.50/x
  3. Step 3: Cross multiply
    109,218x = 164,830.50 × 164,830.50
  4. Step 4: Simplify right side
    109,218x = 27,169,093,730.25
  5. Step 5: Solve for x
    x = 27,169,093,730.25/109,218
  6. Step 6: Final answer
    x = 248,760.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.