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Finding the Third Proportional to 174,923,415 and 404,958,413.25

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Solution

The third proportional to 174,923,415 and 404,958,413.25 is: 937,503,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,923,415 : 404,958,413.25 = 404,958,413.25 : x
  2. Step 2: Convert to fraction form
    174,923,415/404,958,413.25 = 404,958,413.25/x
  3. Step 3: Cross multiply
    174,923,415x = 404,958,413.25 × 404,958,413.25
  4. Step 4: Simplify right side
    174,923,415x = 163,991,316,461,957,760
  5. Step 5: Solve for x
    x = 163,991,316,461,957,760/174,923,415
  6. Step 6: Final answer
    x = 937,503,515.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.