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Finding the Third Proportional to 78,475,373 and 168,944,175

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Solution

The third proportional to 78,475,373 and 168,944,175 is: 363,708,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475,373 : 168,944,175 = 168,944,175 : x
  2. Step 2: Convert to fraction form
    78,475,373/168,944,175 = 168,944,175/x
  3. Step 3: Cross multiply
    78,475,373x = 168,944,175 × 168,944,175
  4. Step 4: Simplify right side
    78,475,373x = 28,542,134,266,430,624
  5. Step 5: Solve for x
    x = 28,542,134,266,430,624/78,475,373
  6. Step 6: Final answer
    x = 363,708,169.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.