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Finding the Third Proportional to 201,391,650 and 433,771,723

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Solution

The third proportional to 201,391,650 and 433,771,723 is: 934,288,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,650 : 433,771,723 = 433,771,723 : x
  2. Step 2: Convert to fraction form
    201,391,650/433,771,723 = 433,771,723/x
  3. Step 3: Cross multiply
    201,391,650x = 433,771,723 × 433,771,723
  4. Step 4: Simplify right side
    201,391,650x = 188,157,907,674,388,736
  5. Step 5: Solve for x
    x = 188,157,907,674,388,736/201,391,650
  6. Step 6: Final answer
    x = 934,288,525.24

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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.