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Finding the Third Proportional to 149,706,531 and 327,634,353

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Solution

The third proportional to 149,706,531 and 327,634,353 is: 717,031,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,706,531 : 327,634,353 = 327,634,353 : x
  2. Step 2: Convert to fraction form
    149,706,531/327,634,353 = 327,634,353/x
  3. Step 3: Cross multiply
    149,706,531x = 327,634,353 × 327,634,353
  4. Step 4: Simplify right side
    149,706,531x = 107,344,269,265,728,608
  5. Step 5: Solve for x
    x = 107,344,269,265,728,608/149,706,531
  6. Step 6: Final answer
    x = 717,031,304.84

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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.