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Finding the Third Proportional to 141,189,789 and 206,366,254

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Solution

The third proportional to 141,189,789 and 206,366,254 is: 301,629,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,189,789 : 206,366,254 = 206,366,254 : x
  2. Step 2: Convert to fraction form
    141,189,789/206,366,254 = 206,366,254/x
  3. Step 3: Cross multiply
    141,189,789x = 206,366,254 × 206,366,254
  4. Step 4: Simplify right side
    141,189,789x = 42,587,030,789,992,512
  5. Step 5: Solve for x
    x = 42,587,030,789,992,512/141,189,789
  6. Step 6: Final answer
    x = 301,629,679.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.