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Finding the Third Proportional to 109,115 and 234,830.50

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Solution

The third proportional to 109,115 and 234,830.50 is: 505,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,115 : 234,830.50 = 234,830.50 : x
  2. Step 2: Convert to fraction form
    109,115/234,830.50 = 234,830.50/x
  3. Step 3: Cross multiply
    109,115x = 234,830.50 × 234,830.50
  4. Step 4: Simplify right side
    109,115x = 55,145,363,730.25
  5. Step 5: Solve for x
    x = 55,145,363,730.25/109,115
  6. Step 6: Final answer
    x = 505,387.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.