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Finding the Third Proportional to 134,190,468 and 293,505,192

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Solution

The third proportional to 134,190,468 and 293,505,192 is: 641,962,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,190,468 : 293,505,192 = 293,505,192 : x
  2. Step 2: Convert to fraction form
    134,190,468/293,505,192 = 293,505,192/x
  3. Step 3: Cross multiply
    134,190,468x = 293,505,192 × 293,505,192
  4. Step 4: Simplify right side
    134,190,468x = 86,145,297,730,956,864
  5. Step 5: Solve for x
    x = 86,145,297,730,956,864/134,190,468
  6. Step 6: Final answer
    x = 641,962,868.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.