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Finding the Third Proportional to 168,761,078 and 253,591,004.50

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Solution

The third proportional to 168,761,078 and 253,591,004.50 is: 381,061,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,761,078 : 253,591,004.50 = 253,591,004.50 : x
  2. Step 2: Convert to fraction form
    168,761,078/253,591,004.50 = 253,591,004.50/x
  3. Step 3: Cross multiply
    168,761,078x = 253,591,004.50 × 253,591,004.50
  4. Step 4: Simplify right side
    168,761,078x = 64,308,397,563,319,024
  5. Step 5: Solve for x
    x = 64,308,397,563,319,024/168,761,078
  6. Step 6: Final answer
    x = 381,061,784.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.