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Finding the Third Proportional to 98,338,872 and 212,433,936

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Solution

The third proportional to 98,338,872 and 212,433,936 is: 458,904,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,338,872 : 212,433,936 = 212,433,936 : x
  2. Step 2: Convert to fraction form
    98,338,872/212,433,936 = 212,433,936/x
  3. Step 3: Cross multiply
    98,338,872x = 212,433,936 × 212,433,936
  4. Step 4: Simplify right side
    98,338,872x = 45,128,177,164,452,096
  5. Step 5: Solve for x
    x = 45,128,177,164,452,096/98,338,872
  6. Step 6: Final answer
    x = 458,904,767.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.