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Finding the Third Proportional to 96,946,236 and 212,134,968

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Solution

The third proportional to 96,946,236 and 212,134,968 is: 464,187,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,946,236 : 212,134,968 = 212,134,968 : x
  2. Step 2: Convert to fraction form
    96,946,236/212,134,968 = 212,134,968/x
  3. Step 3: Cross multiply
    96,946,236x = 212,134,968 × 212,134,968
  4. Step 4: Simplify right side
    96,946,236x = 45,001,244,648,361,024
  5. Step 5: Solve for x
    x = 45,001,244,648,361,024/96,946,236
  6. Step 6: Final answer
    x = 464,187,641.57

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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.