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Finding the Third Proportional to 47,789,284 and 104,868,296

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Solution

The third proportional to 47,789,284 and 104,868,296 is: 230,121,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,789,284 : 104,868,296 = 104,868,296 : x
  2. Step 2: Convert to fraction form
    47,789,284/104,868,296 = 104,868,296/x
  3. Step 3: Cross multiply
    47,789,284x = 104,868,296 × 104,868,296
  4. Step 4: Simplify right side
    47,789,284x = 10,997,359,505,943,616
  5. Step 5: Solve for x
    x = 10,997,359,505,943,616/47,789,284
  6. Step 6: Final answer
    x = 230,121,872.22

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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.