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Finding the Third Proportional to 103,805,413.50 and 145,995,367.50

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Solution

The third proportional to 103,805,413.50 and 145,995,367.50 is: 205,332,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,805,413.50 : 145,995,367.50 = 145,995,367.50 : x
  2. Step 2: Convert to fraction form
    103,805,413.50/145,995,367.50 = 145,995,367.50/x
  3. Step 3: Cross multiply
    103,805,413.50x = 145,995,367.50 × 145,995,367.50
  4. Step 4: Simplify right side
    103,805,413.50x = 21,314,647,331,460,056
  5. Step 5: Solve for x
    x = 21,314,647,331,460,056/103,805,413.50
  6. Step 6: Final answer
    x = 205,332,714.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.