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Finding the Third Proportional to 164,704,276 and 219,579,870

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Solution

The third proportional to 164,704,276 and 219,579,870 is: 292,738,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704,276 : 219,579,870 = 219,579,870 : x
  2. Step 2: Convert to fraction form
    164,704,276/219,579,870 = 219,579,870/x
  3. Step 3: Cross multiply
    164,704,276x = 219,579,870 × 219,579,870
  4. Step 4: Simplify right side
    164,704,276x = 48,215,319,309,216,896
  5. Step 5: Solve for x
    x = 48,215,319,309,216,896/164,704,276
  6. Step 6: Final answer
    x = 292,738,722.27

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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.