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Finding the Third Proportional to 114,903,413.50 and 171,948,007.50

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Solution

The third proportional to 114,903,413.50 and 171,948,007.50 is: 257,312,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,903,413.50 : 171,948,007.50 = 171,948,007.50 : x
  2. Step 2: Convert to fraction form
    114,903,413.50/171,948,007.50 = 171,948,007.50/x
  3. Step 3: Cross multiply
    114,903,413.50x = 171,948,007.50 × 171,948,007.50
  4. Step 4: Simplify right side
    114,903,413.50x = 29,566,117,283,220,056
  5. Step 5: Solve for x
    x = 29,566,117,283,220,056/114,903,413.50
  6. Step 6: Final answer
    x = 257,312,784.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.