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Finding the Third Proportional to 366,140,016.50 and 802,230,133.75

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Solution

The third proportional to 366,140,016.50 and 802,230,133.75 is: 1,757,724,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,140,016.50 : 802,230,133.75 = 802,230,133.75 : x
  2. Step 2: Convert to fraction form
    366,140,016.50/802,230,133.75 = 802,230,133.75/x
  3. Step 3: Cross multiply
    366,140,016.50x = 802,230,133.75 × 802,230,133.75
  4. Step 4: Simplify right side
    366,140,016.50x = 643,573,187,496,542,848
  5. Step 5: Solve for x
    x = 643,573,187,496,542,848/366,140,016.50
  6. Step 6: Final answer
    x = 1,757,724,254.37

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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.