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Finding the Third Proportional to 148,106 and 211,644.50

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Solution

The third proportional to 148,106 and 211,644.50 is: 302,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,106 : 211,644.50 = 211,644.50 : x
  2. Step 2: Convert to fraction form
    148,106/211,644.50 = 211,644.50/x
  3. Step 3: Cross multiply
    148,106x = 211,644.50 × 211,644.50
  4. Step 4: Simplify right side
    148,106x = 44,793,394,380.25
  5. Step 5: Solve for x
    x = 44,793,394,380.25/148,106
  6. Step 6: Final answer
    x = 302,441.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.