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Finding the Third Proportional to 96,539,573,962 and 207,833,400,020

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Solution

The third proportional to 96,539,573,962 and 207,833,400,020 is: 447,430,213,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,539,573,962 : 207,833,400,020 = 207,833,400,020 : x
  2. Step 2: Convert to fraction form
    96,539,573,962/207,833,400,020 = 207,833,400,020/x
  3. Step 3: Cross multiply
    96,539,573,962x = 207,833,400,020 × 207,833,400,020
  4. Step 4: Simplify right side
    96,539,573,962x = 43,194,722,163,873,336,524,800
  5. Step 5: Solve for x
    x = 43,194,722,163,873,336,524,800/96,539,573,962
  6. Step 6: Final answer
    x = 447,430,213,239.55

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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.