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Finding the Third Proportional to 73,135,953 and 152,325,370.13

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Solution

The third proportional to 73,135,953 and 152,325,370.13 is: 317,258,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,135,953 : 152,325,370.13 = 152,325,370.13 : x
  2. Step 2: Convert to fraction form
    73,135,953/152,325,370.13 = 152,325,370.13/x
  3. Step 3: Cross multiply
    73,135,953x = 152,325,370.13 × 152,325,370.13
  4. Step 4: Simplify right side
    73,135,953x = 23,203,018,383,718,244
  5. Step 5: Solve for x
    x = 23,203,018,383,718,244/73,135,953
  6. Step 6: Final answer
    x = 317,258,713.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.