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Finding the Third Proportional to 48,433 and 106,209

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Solution

The third proportional to 48,433 and 106,209 is: 232,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,433 : 106,209 = 106,209 : x
  2. Step 2: Convert to fraction form
    48,433/106,209 = 106,209/x
  3. Step 3: Cross multiply
    48,433x = 106,209 × 106,209
  4. Step 4: Simplify right side
    48,433x = 11,280,351,681
  5. Step 5: Solve for x
    x = 11,280,351,681/48,433
  6. Step 6: Final answer
    x = 232,906.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.