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Finding the Third Proportional to 141,189,790 and 206,366,256

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Solution

The third proportional to 141,189,790 and 206,366,256 is: 301,629,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,189,790 : 206,366,256 = 206,366,256 : x
  2. Step 2: Convert to fraction form
    141,189,790/206,366,256 = 206,366,256/x
  3. Step 3: Cross multiply
    141,189,790x = 206,366,256 × 206,366,256
  4. Step 4: Simplify right side
    141,189,790x = 42,587,031,615,457,536
  5. Step 5: Solve for x
    x = 42,587,031,615,457,536/141,189,790
  6. Step 6: Final answer
    x = 301,629,683.11

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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.