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Finding the Third Proportional to 67,021,586 and 144,628,980.50

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Solution

The third proportional to 67,021,586 and 144,628,980.50 is: 312,101,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,021,586 : 144,628,980.50 = 144,628,980.50 : x
  2. Step 2: Convert to fraction form
    67,021,586/144,628,980.50 = 144,628,980.50/x
  3. Step 3: Cross multiply
    67,021,586x = 144,628,980.50 × 144,628,980.50
  4. Step 4: Simplify right side
    67,021,586x = 20,917,542,000,469,380
  5. Step 5: Solve for x
    x = 20,917,542,000,469,380/67,021,586
  6. Step 6: Final answer
    x = 312,101,566.81

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