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Finding the Third Proportional to 159,533,635,086 and 345,541,062,636

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Solution

The third proportional to 159,533,635,086 and 345,541,062,636 is: 748,422,900,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,533,635,086 : 345,541,062,636 = 345,541,062,636 : x
  2. Step 2: Convert to fraction form
    159,533,635,086/345,541,062,636 = 345,541,062,636/x
  3. Step 3: Cross multiply
    159,533,635,086x = 345,541,062,636 × 345,541,062,636
  4. Step 4: Simplify right side
    159,533,635,086x = 119,398,625,967,616,076,808,192
  5. Step 5: Solve for x
    x = 119,398,625,967,616,076,808,192/159,533,635,086
  6. Step 6: Final answer
    x = 748,422,900,934.04

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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.