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Finding the Third Proportional to 109,100.25 and 235,413

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Solution

The third proportional to 109,100.25 and 235,413 is: 507,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,100.25 : 235,413 = 235,413 : x
  2. Step 2: Convert to fraction form
    109,100.25/235,413 = 235,413/x
  3. Step 3: Cross multiply
    109,100.25x = 235,413 × 235,413
  4. Step 4: Simplify right side
    109,100.25x = 55,419,280,569
  5. Step 5: Solve for x
    x = 55,419,280,569/109,100.25
  6. Step 6: Final answer
    x = 507,966.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.