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Finding the Third Proportional to 201,397,745 and 310,993,356

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Solution

The third proportional to 201,397,745 and 310,993,356 is: 480,228,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,745 : 310,993,356 = 310,993,356 : x
  2. Step 2: Convert to fraction form
    201,397,745/310,993,356 = 310,993,356/x
  3. Step 3: Cross multiply
    201,397,745x = 310,993,356 × 310,993,356
  4. Step 4: Simplify right side
    201,397,745x = 96,716,867,476,142,736
  5. Step 5: Solve for x
    x = 96,716,867,476,142,736/201,397,745
  6. Step 6: Final answer
    x = 480,228,154.87

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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.