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Finding the Third Proportional to 201,391,646 and 433,771,712

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Solution

The third proportional to 201,391,646 and 433,771,712 is: 934,288,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,646 : 433,771,712 = 433,771,712 : x
  2. Step 2: Convert to fraction form
    201,391,646/433,771,712 = 433,771,712/x
  3. Step 3: Cross multiply
    201,391,646x = 433,771,712 × 433,771,712
  4. Step 4: Simplify right side
    201,391,646x = 188,157,898,131,410,944
  5. Step 5: Solve for x
    x = 188,157,898,131,410,944/201,391,646
  6. Step 6: Final answer
    x = 934,288,496.41

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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.