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Finding the Third Proportional to 164,704,142.25 and 219,579,715.88

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Solution

The third proportional to 164,704,142.25 and 219,579,715.88 is: 292,738,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704,142.25 : 219,579,715.88 = 219,579,715.88 : x
  2. Step 2: Convert to fraction form
    164,704,142.25/219,579,715.88 = 219,579,715.88/x
  3. Step 3: Cross multiply
    164,704,142.25x = 219,579,715.88 × 219,579,715.88
  4. Step 4: Simplify right side
    164,704,142.25x = 48,215,251,623,745,728
  5. Step 5: Solve for x
    x = 48,215,251,623,745,728/164,704,142.25
  6. Step 6: Final answer
    x = 292,738,549.04

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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.