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Finding the Third Proportional to 67,105,364 and 146,770,840

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Solution

The third proportional to 67,105,364 and 146,770,840 is: 321,012,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,105,364 : 146,770,840 = 146,770,840 : x
  2. Step 2: Convert to fraction form
    67,105,364/146,770,840 = 146,770,840/x
  3. Step 3: Cross multiply
    67,105,364x = 146,770,840 × 146,770,840
  4. Step 4: Simplify right side
    67,105,364x = 21,541,679,474,305,600
  5. Step 5: Solve for x
    x = 21,541,679,474,305,600/67,105,364
  6. Step 6: Final answer
    x = 321,012,780.35

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