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Finding the Third Proportional to 87,375,038 and 189,289,250

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Solution

The third proportional to 87,375,038 and 189,289,250 is: 410,076,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,375,038 : 189,289,250 = 189,289,250 : x
  2. Step 2: Convert to fraction form
    87,375,038/189,289,250 = 189,289,250/x
  3. Step 3: Cross multiply
    87,375,038x = 189,289,250 × 189,289,250
  4. Step 4: Simplify right side
    87,375,038x = 35,830,420,165,562,500
  5. Step 5: Solve for x
    x = 35,830,420,165,562,500/87,375,038
  6. Step 6: Final answer
    x = 410,076,161.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.