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Finding the Third Proportional to 132,169,185 and 275,199,982.50

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Solution

The third proportional to 132,169,185 and 275,199,982.50 is: 573,015,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,169,185 : 275,199,982.50 = 275,199,982.50 : x
  2. Step 2: Convert to fraction form
    132,169,185/275,199,982.50 = 275,199,982.50/x
  3. Step 3: Cross multiply
    132,169,185x = 275,199,982.50 × 275,199,982.50
  4. Step 4: Simplify right side
    132,169,185x = 75,735,030,368,000,304
  5. Step 5: Solve for x
    x = 75,735,030,368,000,304/132,169,185
  6. Step 6: Final answer
    x = 573,015,793.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.