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Finding the Third Proportional to 32,083,990.50 and 69,282,413.50

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Solution

The third proportional to 32,083,990.50 and 69,282,413.50 is: 149,608,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,990.50 : 69,282,413.50 = 69,282,413.50 : x
  2. Step 2: Convert to fraction form
    32,083,990.50/69,282,413.50 = 69,282,413.50/x
  3. Step 3: Cross multiply
    32,083,990.50x = 69,282,413.50 × 69,282,413.50
  4. Step 4: Simplify right side
    32,083,990.50x = 4,800,052,820,384,982
  5. Step 5: Solve for x
    x = 4,800,052,820,384,982/32,083,990.50
  6. Step 6: Final answer
    x = 149,608,971.50

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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.