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Finding the Third Proportional to 89,923,728 and 212,206,584

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Solution

The third proportional to 89,923,728 and 212,206,584 is: 500,775,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,923,728 : 212,206,584 = 212,206,584 : x
  2. Step 2: Convert to fraction form
    89,923,728/212,206,584 = 212,206,584/x
  3. Step 3: Cross multiply
    89,923,728x = 212,206,584 × 212,206,584
  4. Step 4: Simplify right side
    89,923,728x = 45,031,634,292,949,056
  5. Step 5: Solve for x
    x = 45,031,634,292,949,056/89,923,728
  6. Step 6: Final answer
    x = 500,775,883.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.