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Finding the Third Proportional to 112,883,175 and 164,967,318

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Solution

The third proportional to 112,883,175 and 164,967,318 is: 241,083,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,883,175 : 164,967,318 = 164,967,318 : x
  2. Step 2: Convert to fraction form
    112,883,175/164,967,318 = 164,967,318/x
  3. Step 3: Cross multiply
    112,883,175x = 164,967,318 × 164,967,318
  4. Step 4: Simplify right side
    112,883,175x = 27,214,216,008,113,124
  5. Step 5: Solve for x
    x = 27,214,216,008,113,124/112,883,175
  6. Step 6: Final answer
    x = 241,083,013.55

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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.