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Finding the Third Proportional to 80,201,647.50 and 171,913,850.38

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Solution

The third proportional to 80,201,647.50 and 171,913,850.38 is: 368,500,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,201,647.50 : 171,913,850.38 = 171,913,850.38 : x
  2. Step 2: Convert to fraction form
    80,201,647.50/171,913,850.38 = 171,913,850.38/x
  3. Step 3: Cross multiply
    80,201,647.50x = 171,913,850.38 × 171,913,850.38
  4. Step 4: Simplify right side
    80,201,647.50x = 29,554,371,950,757,888
  5. Step 5: Solve for x
    x = 29,554,371,950,757,888/80,201,647.50
  6. Step 6: Final answer
    x = 368,500,808.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.