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Finding the Third Proportional to 134,198,915 and 293,518,198

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Solution

The third proportional to 134,198,915 and 293,518,198 is: 641,979,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,198,915 : 293,518,198 = 293,518,198 : x
  2. Step 2: Convert to fraction form
    134,198,915/293,518,198 = 293,518,198/x
  3. Step 3: Cross multiply
    134,198,915x = 293,518,198 × 293,518,198
  4. Step 4: Simplify right side
    134,198,915x = 86,152,932,557,167,200
  5. Step 5: Solve for x
    x = 86,152,932,557,167,200/134,198,915
  6. Step 6: Final answer
    x = 641,979,352.49

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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.