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Finding the Third Proportional to 134,264,914 and 207,328,514

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Solution

The third proportional to 134,264,914 and 207,328,514 is: 320,151,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264,914 : 207,328,514 = 207,328,514 : x
  2. Step 2: Convert to fraction form
    134,264,914/207,328,514 = 207,328,514/x
  3. Step 3: Cross multiply
    134,264,914x = 207,328,514 × 207,328,514
  4. Step 4: Simplify right side
    134,264,914x = 42,985,112,717,448,192
  5. Step 5: Solve for x
    x = 42,985,112,717,448,192/134,264,914
  6. Step 6: Final answer
    x = 320,151,493.32

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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.