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Finding the Third Proportional to 47,850,972 and 104,965,996.50

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Solution

The third proportional to 47,850,972 and 104,965,996.50 is: 230,253,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850,972 : 104,965,996.50 = 104,965,996.50 : x
  2. Step 2: Convert to fraction form
    47,850,972/104,965,996.50 = 104,965,996.50/x
  3. Step 3: Cross multiply
    47,850,972x = 104,965,996.50 × 104,965,996.50
  4. Step 4: Simplify right side
    47,850,972x = 11,017,860,421,238,012
  5. Step 5: Solve for x
    x = 11,017,860,421,238,012/47,850,972
  6. Step 6: Final answer
    x = 230,253,638.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.