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Finding the Third Proportional to 111,232,786 and 162,867,211

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Solution

The third proportional to 111,232,786 and 162,867,211 is: 238,470,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232,786 : 162,867,211 = 162,867,211 : x
  2. Step 2: Convert to fraction form
    111,232,786/162,867,211 = 162,867,211/x
  3. Step 3: Cross multiply
    111,232,786x = 162,867,211 × 162,867,211
  4. Step 4: Simplify right side
    111,232,786x = 26,525,728,418,918,520
  5. Step 5: Solve for x
    x = 26,525,728,418,918,520/111,232,786
  6. Step 6: Final answer
    x = 238,470,413.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.