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Finding the Third Proportional to 121,267,094 and 186,398,190

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Solution

The third proportional to 121,267,094 and 186,398,190 is: 286,510,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,267,094 : 186,398,190 = 186,398,190 : x
  2. Step 2: Convert to fraction form
    121,267,094/186,398,190 = 186,398,190/x
  3. Step 3: Cross multiply
    121,267,094x = 186,398,190 × 186,398,190
  4. Step 4: Simplify right side
    121,267,094x = 34,744,285,235,276,100
  5. Step 5: Solve for x
    x = 34,744,285,235,276,100/121,267,094
  6. Step 6: Final answer
    x = 286,510,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.