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Finding the Third Proportional to 201,391,611 and 433,771,642

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Solution

The third proportional to 201,391,611 and 433,771,642 is: 934,288,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,611 : 433,771,642 = 433,771,642 : x
  2. Step 2: Convert to fraction form
    201,391,611/433,771,642 = 433,771,642/x
  3. Step 3: Cross multiply
    201,391,611x = 433,771,642 × 433,771,642
  4. Step 4: Simplify right side
    201,391,611x = 188,157,837,403,376,160
  5. Step 5: Solve for x
    x = 188,157,837,403,376,160/201,391,611
  6. Step 6: Final answer
    x = 934,288,357.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.