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Finding the Third Proportional to 173,244,462 and 385,223,591

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Solution

The third proportional to 173,244,462 and 385,223,591 is: 856,576,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,244,462 : 385,223,591 = 385,223,591 : x
  2. Step 2: Convert to fraction form
    173,244,462/385,223,591 = 385,223,591/x
  3. Step 3: Cross multiply
    173,244,462x = 385,223,591 × 385,223,591
  4. Step 4: Simplify right side
    173,244,462x = 148,397,215,062,935,296
  5. Step 5: Solve for x
    x = 148,397,215,062,935,296/173,244,462
  6. Step 6: Final answer
    x = 856,576,962.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.