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Finding the Third Proportional to 47,938,788 and 104,846,184

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Solution

The third proportional to 47,938,788 and 104,846,184 is: 229,307,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,938,788 : 104,846,184 = 104,846,184 : x
  2. Step 2: Convert to fraction form
    47,938,788/104,846,184 = 104,846,184/x
  3. Step 3: Cross multiply
    47,938,788x = 104,846,184 × 104,846,184
  4. Step 4: Simplify right side
    47,938,788x = 10,992,722,299,361,856
  5. Step 5: Solve for x
    x = 10,992,722,299,361,856/47,938,788
  6. Step 6: Final answer
    x = 229,307,472.26

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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.