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Finding the Third Proportional to 201,397,732 and 310,993,317

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Solution

The third proportional to 201,397,732 and 310,993,317 is: 480,228,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,732 : 310,993,317 = 310,993,317 : x
  2. Step 2: Convert to fraction form
    201,397,732/310,993,317 = 310,993,317/x
  3. Step 3: Cross multiply
    201,397,732x = 310,993,317 × 310,993,317
  4. Step 4: Simplify right side
    201,397,732x = 96,716,843,218,662,496
  5. Step 5: Solve for x
    x = 96,716,843,218,662,496/201,397,732
  6. Step 6: Final answer
    x = 480,228,065.42

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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.