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Finding the Third Proportional to 34,220,839.50 and 76,092,817.50

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Solution

The third proportional to 34,220,839.50 and 76,092,817.50 is: 169,198,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220,839.50 : 76,092,817.50 = 76,092,817.50 : x
  2. Step 2: Convert to fraction form
    34,220,839.50/76,092,817.50 = 76,092,817.50/x
  3. Step 3: Cross multiply
    34,220,839.50x = 76,092,817.50 × 76,092,817.50
  4. Step 4: Simplify right side
    34,220,839.50x = 5,790,116,875,088,306
  5. Step 5: Solve for x
    x = 5,790,116,875,088,306/34,220,839.50
  6. Step 6: Final answer
    x = 169,198,563.21

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.