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Finding the Third Proportional to 96,397,720 and 211,924,904

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Solution

The third proportional to 96,397,720 and 211,924,904 is: 465,904,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,397,720 : 211,924,904 = 211,924,904 : x
  2. Step 2: Convert to fraction form
    96,397,720/211,924,904 = 211,924,904/x
  3. Step 3: Cross multiply
    96,397,720x = 211,924,904 × 211,924,904
  4. Step 4: Simplify right side
    96,397,720x = 44,912,164,935,409,216
  5. Step 5: Solve for x
    x = 44,912,164,935,409,216/96,397,720
  6. Step 6: Final answer
    x = 465,904,846.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.