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Finding the Third Proportional to 87,253,284 and 135,289,410

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Solution

The third proportional to 87,253,284 and 135,289,410 is: 209,771,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,253,284 : 135,289,410 = 135,289,410 : x
  2. Step 2: Convert to fraction form
    87,253,284/135,289,410 = 135,289,410/x
  3. Step 3: Cross multiply
    87,253,284x = 135,289,410 × 135,289,410
  4. Step 4: Simplify right side
    87,253,284x = 18,303,224,458,148,100
  5. Step 5: Solve for x
    x = 18,303,224,458,148,100/87,253,284
  6. Step 6: Final answer
    x = 209,771,181.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.