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Finding the Third Proportional to 201,397,488 and 310,992,965

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Solution

The third proportional to 201,397,488 and 310,992,965 is: 480,227,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,488 : 310,992,965 = 310,992,965 : x
  2. Step 2: Convert to fraction form
    201,397,488/310,992,965 = 310,992,965/x
  3. Step 3: Cross multiply
    201,397,488x = 310,992,965 × 310,992,965
  4. Step 4: Simplify right side
    201,397,488x = 96,716,624,279,491,232
  5. Step 5: Solve for x
    x = 96,716,624,279,491,232/201,397,488
  6. Step 6: Final answer
    x = 480,227,560.13

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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.