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Finding the Third Proportional to 134,198,917 and 293,518,202

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Solution

The third proportional to 134,198,917 and 293,518,202 is: 641,979,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,198,917 : 293,518,202 = 293,518,202 : x
  2. Step 2: Convert to fraction form
    134,198,917/293,518,202 = 293,518,202/x
  3. Step 3: Cross multiply
    134,198,917x = 293,518,202 × 293,518,202
  4. Step 4: Simplify right side
    134,198,917x = 86,152,934,905,312,800
  5. Step 5: Solve for x
    x = 86,152,934,905,312,800/134,198,917
  6. Step 6: Final answer
    x = 641,979,360.42

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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.