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Finding the Third Proportional to 164,704,272 and 219,579,864

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Solution

The third proportional to 164,704,272 and 219,579,864 is: 292,738,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704,272 : 219,579,864 = 219,579,864 : x
  2. Step 2: Convert to fraction form
    164,704,272/219,579,864 = 219,579,864/x
  3. Step 3: Cross multiply
    164,704,272x = 219,579,864 × 219,579,864
  4. Step 4: Simplify right side
    164,704,272x = 48,215,316,674,258,496
  5. Step 5: Solve for x
    x = 48,215,316,674,258,496/164,704,272
  6. Step 6: Final answer
    x = 292,738,713.38

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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.