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Finding the Third Proportional to 201,743,496 and 319,504,716

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Solution

The third proportional to 201,743,496 and 319,504,716 is: 506,005,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,743,496 : 319,504,716 = 319,504,716 : x
  2. Step 2: Convert to fraction form
    201,743,496/319,504,716 = 319,504,716/x
  3. Step 3: Cross multiply
    201,743,496x = 319,504,716 × 319,504,716
  4. Step 4: Simplify right side
    201,743,496x = 102,083,263,546,240,656
  5. Step 5: Solve for x
    x = 102,083,263,546,240,656/201,743,496
  6. Step 6: Final answer
    x = 506,005,227.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.