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Finding the Third Proportional to 134,264,874 and 207,328,456

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Solution

The third proportional to 134,264,874 and 207,328,456 is: 320,151,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264,874 : 207,328,456 = 207,328,456 : x
  2. Step 2: Convert to fraction form
    134,264,874/207,328,456 = 207,328,456/x
  3. Step 3: Cross multiply
    134,264,874x = 207,328,456 × 207,328,456
  4. Step 4: Simplify right side
    134,264,874x = 42,985,088,667,343,936
  5. Step 5: Solve for x
    x = 42,985,088,667,343,936/134,264,874
  6. Step 6: Final answer
    x = 320,151,409.57

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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.