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Finding the Third Proportional to 96,946,245 and 212,134,986

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Solution

The third proportional to 96,946,245 and 212,134,986 is: 464,187,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,946,245 : 212,134,986 = 212,134,986 : x
  2. Step 2: Convert to fraction form
    96,946,245/212,134,986 = 212,134,986/x
  3. Step 3: Cross multiply
    96,946,245x = 212,134,986 × 212,134,986
  4. Step 4: Simplify right side
    96,946,245x = 45,001,252,285,220,192
  5. Step 5: Solve for x
    x = 45,001,252,285,220,192/96,946,245
  6. Step 6: Final answer
    x = 464,187,677.26

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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.