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Finding the Third Proportional to 133,165,360 and 291,787,372

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Solution

The third proportional to 133,165,360 and 291,787,372 is: 639,354,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165,360 : 291,787,372 = 291,787,372 : x
  2. Step 2: Convert to fraction form
    133,165,360/291,787,372 = 291,787,372/x
  3. Step 3: Cross multiply
    133,165,360x = 291,787,372 × 291,787,372
  4. Step 4: Simplify right side
    133,165,360x = 85,139,870,458,666,384
  5. Step 5: Solve for x
    x = 85,139,870,458,666,384/133,165,360
  6. Step 6: Final answer
    x = 639,354,487.22

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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.