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Finding the Third Proportional to 134,264,974 and 207,328,609

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Solution

The third proportional to 134,264,974 and 207,328,609 is: 320,151,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264,974 : 207,328,609 = 207,328,609 : x
  2. Step 2: Convert to fraction form
    134,264,974/207,328,609 = 207,328,609/x
  3. Step 3: Cross multiply
    134,264,974x = 207,328,609 × 207,328,609
  4. Step 4: Simplify right side
    134,264,974x = 42,985,152,109,874,880
  5. Step 5: Solve for x
    x = 42,985,152,109,874,880/134,264,974
  6. Step 6: Final answer
    x = 320,151,643.64

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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.