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Finding the Third Proportional to 111,233,254 and 162,867,912

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Solution

The third proportional to 111,233,254 and 162,867,912 is: 238,471,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,233,254 : 162,867,912 = 162,867,912 : x
  2. Step 2: Convert to fraction form
    111,233,254/162,867,912 = 162,867,912/x
  3. Step 3: Cross multiply
    111,233,254x = 162,867,912 × 162,867,912
  4. Step 4: Simplify right side
    111,233,254x = 26,525,956,759,239,744
  5. Step 5: Solve for x
    x = 26,525,956,759,239,744/111,233,254
  6. Step 6: Final answer
    x = 238,471,462.49

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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.