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Finding the Third Proportional to 134,264,864 and 207,328,442

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Solution

The third proportional to 134,264,864 and 207,328,442 is: 320,151,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264,864 : 207,328,442 = 207,328,442 : x
  2. Step 2: Convert to fraction form
    134,264,864/207,328,442 = 207,328,442/x
  3. Step 3: Cross multiply
    134,264,864x = 207,328,442 × 207,328,442
  4. Step 4: Simplify right side
    134,264,864x = 42,985,082,862,147,360
  5. Step 5: Solve for x
    x = 42,985,082,862,147,360/134,264,864
  6. Step 6: Final answer
    x = 320,151,390.18

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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.