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Finding the Third Proportional to 84,962,073 and 182,997,385.50

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Solution

The third proportional to 84,962,073 and 182,997,385.50 is: 394,152,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,962,073 : 182,997,385.50 = 182,997,385.50 : x
  2. Step 2: Convert to fraction form
    84,962,073/182,997,385.50 = 182,997,385.50/x
  3. Step 3: Cross multiply
    84,962,073x = 182,997,385.50 × 182,997,385.50
  4. Step 4: Simplify right side
    84,962,073x = 33,488,043,099,835,612
  5. Step 5: Solve for x
    x = 33,488,043,099,835,612/84,962,073
  6. Step 6: Final answer
    x = 394,152,848.65

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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.