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Finding the Third Proportional to 102,767,006 and 150,291,837

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Solution

The third proportional to 102,767,006 and 150,291,837 is: 219,794,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767,006 : 150,291,837 = 150,291,837 : x
  2. Step 2: Convert to fraction form
    102,767,006/150,291,837 = 150,291,837/x
  3. Step 3: Cross multiply
    102,767,006x = 150,291,837 × 150,291,837
  4. Step 4: Simplify right side
    102,767,006x = 22,587,636,268,834,568
  5. Step 5: Solve for x
    x = 22,587,636,268,834,568/102,767,006
  6. Step 6: Final answer
    x = 219,794,632.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.