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Finding the Third Proportional to 96,539,573,958 and 207,833,400,012

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Solution

The third proportional to 96,539,573,958 and 207,833,400,012 is: 447,430,213,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,539,573,958 : 207,833,400,012 = 207,833,400,012 : x
  2. Step 2: Convert to fraction form
    96,539,573,958/207,833,400,012 = 207,833,400,012/x
  3. Step 3: Cross multiply
    96,539,573,958x = 207,833,400,012 × 207,833,400,012
  4. Step 4: Simplify right side
    96,539,573,958x = 43,194,722,160,548,000,038,912
  5. Step 5: Solve for x
    x = 43,194,722,160,548,000,038,912/96,539,573,958
  6. Step 6: Final answer
    x = 447,430,213,223.65

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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.