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Finding the Third Proportional to 96,538,959 and 211,125,690

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Solution

The third proportional to 96,538,959 and 211,125,690 is: 461,720,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,538,959 : 211,125,690 = 211,125,690 : x
  2. Step 2: Convert to fraction form
    96,538,959/211,125,690 = 211,125,690/x
  3. Step 3: Cross multiply
    96,538,959x = 211,125,690 × 211,125,690
  4. Step 4: Simplify right side
    96,538,959x = 44,574,056,977,976,096
  5. Step 5: Solve for x
    x = 44,574,056,977,976,096/96,538,959
  6. Step 6: Final answer
    x = 461,720,920.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.