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Finding the Third Proportional to 78,175,166 and 171,767,224

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Solution

The third proportional to 78,175,166 and 171,767,224 is: 377,408,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175,166 : 171,767,224 = 171,767,224 : x
  2. Step 2: Convert to fraction form
    78,175,166/171,767,224 = 171,767,224/x
  3. Step 3: Cross multiply
    78,175,166x = 171,767,224 × 171,767,224
  4. Step 4: Simplify right side
    78,175,166x = 29,503,979,240,666,176
  5. Step 5: Solve for x
    x = 29,503,979,240,666,176/78,175,166
  6. Step 6: Final answer
    x = 377,408,590.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.