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Finding the Third Proportional to 168,646,522.50 and 406,276,276.50

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Solution

The third proportional to 168,646,522.50 and 406,276,276.50 is: 978,735,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,646,522.50 : 406,276,276.50 = 406,276,276.50 : x
  2. Step 2: Convert to fraction form
    168,646,522.50/406,276,276.50 = 406,276,276.50/x
  3. Step 3: Cross multiply
    168,646,522.50x = 406,276,276.50 × 406,276,276.50
  4. Step 4: Simplify right side
    168,646,522.50x = 165,060,412,846,704,448
  5. Step 5: Solve for x
    x = 165,060,412,846,704,448/168,646,522.50
  6. Step 6: Final answer
    x = 978,735,940.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.