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Finding the Third Proportional to 164,072,452 and 253,969,134

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Solution

The third proportional to 164,072,452 and 253,969,134 is: 393,120,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,072,452 : 253,969,134 = 253,969,134 : x
  2. Step 2: Convert to fraction form
    164,072,452/253,969,134 = 253,969,134/x
  3. Step 3: Cross multiply
    164,072,452x = 253,969,134 × 253,969,134
  4. Step 4: Simplify right side
    164,072,452x = 64,500,321,024,709,952
  5. Step 5: Solve for x
    x = 64,500,321,024,709,952/164,072,452
  6. Step 6: Final answer
    x = 393,120,967.22

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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.