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Finding the Third Proportional to 164,704,137 and 219,579,708

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Solution

The third proportional to 164,704,137 and 219,579,708 is: 292,738,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704,137 : 219,579,708 = 219,579,708 : x
  2. Step 2: Convert to fraction form
    164,704,137/219,579,708 = 219,579,708/x
  3. Step 3: Cross multiply
    164,704,137x = 219,579,708 × 219,579,708
  4. Step 4: Simplify right side
    164,704,137x = 48,215,248,165,365,264
  5. Step 5: Solve for x
    x = 48,215,248,165,365,264/164,704,137
  6. Step 6: Final answer
    x = 292,738,537.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.