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Finding the Third Proportional to 96,003,576 and 152,508,420

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Solution

The third proportional to 96,003,576 and 152,508,420 is: 242,270,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,003,576 : 152,508,420 = 152,508,420 : x
  2. Step 2: Convert to fraction form
    96,003,576/152,508,420 = 152,508,420/x
  3. Step 3: Cross multiply
    96,003,576x = 152,508,420 × 152,508,420
  4. Step 4: Simplify right side
    96,003,576x = 23,258,818,170,896,400
  5. Step 5: Solve for x
    x = 23,258,818,170,896,400/96,003,576
  6. Step 6: Final answer
    x = 242,270,331.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.