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Finding the Third Proportional to 79,112,442 and 164,288,220

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Solution

The third proportional to 79,112,442 and 164,288,220 is: 341,167,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,112,442 : 164,288,220 = 164,288,220 : x
  2. Step 2: Convert to fraction form
    79,112,442/164,288,220 = 164,288,220/x
  3. Step 3: Cross multiply
    79,112,442x = 164,288,220 × 164,288,220
  4. Step 4: Simplify right side
    79,112,442x = 26,990,619,230,768,400
  5. Step 5: Solve for x
    x = 26,990,619,230,768,400/79,112,442
  6. Step 6: Final answer
    x = 341,167,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.