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Finding the Third Proportional to 134,265,041 and 207,328,720

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Solution

The third proportional to 134,265,041 and 207,328,720 is: 320,151,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,265,041 : 207,328,720 = 207,328,720 : x
  2. Step 2: Convert to fraction form
    134,265,041/207,328,720 = 207,328,720/x
  3. Step 3: Cross multiply
    134,265,041x = 207,328,720 × 207,328,720
  4. Step 4: Simplify right side
    134,265,041x = 42,985,198,136,838,400
  5. Step 5: Solve for x
    x = 42,985,198,136,838,400/134,265,041
  6. Step 6: Final answer
    x = 320,151,826.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.