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Finding the Third Proportional to 82,110,110 and 114,794,964

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Solution

The third proportional to 82,110,110 and 114,794,964 is: 160,490,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110,110 : 114,794,964 = 114,794,964 : x
  2. Step 2: Convert to fraction form
    82,110,110/114,794,964 = 114,794,964/x
  3. Step 3: Cross multiply
    82,110,110x = 114,794,964 × 114,794,964
  4. Step 4: Simplify right side
    82,110,110x = 13,177,883,759,761,296
  5. Step 5: Solve for x
    x = 13,177,883,759,761,296/82,110,110
  6. Step 6: Final answer
    x = 160,490,392.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.