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Finding the Third Proportional to 206,885,421 and 441,878,085

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Solution

The third proportional to 206,885,421 and 441,878,085 is: 943,789,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885,421 : 441,878,085 = 441,878,085 : x
  2. Step 2: Convert to fraction form
    206,885,421/441,878,085 = 441,878,085/x
  3. Step 3: Cross multiply
    206,885,421x = 441,878,085 × 441,878,085
  4. Step 4: Simplify right side
    206,885,421x = 195,256,242,003,267,232
  5. Step 5: Solve for x
    x = 195,256,242,003,267,232/206,885,421
  6. Step 6: Final answer
    x = 943,789,277.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.