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Finding the Third Proportional to 153,131,040 and 235,373,496

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Solution

The third proportional to 153,131,040 and 235,373,496 is: 361,786,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,131,040 : 235,373,496 = 235,373,496 : x
  2. Step 2: Convert to fraction form
    153,131,040/235,373,496 = 235,373,496/x
  3. Step 3: Cross multiply
    153,131,040x = 235,373,496 × 235,373,496
  4. Step 4: Simplify right side
    153,131,040x = 55,400,682,619,262,016
  5. Step 5: Solve for x
    x = 55,400,682,619,262,016/153,131,040
  6. Step 6: Final answer
    x = 361,786,105.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.