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Finding the Third Proportional to 149,706,453 and 327,634,230

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Solution

The third proportional to 149,706,453 and 327,634,230 is: 717,031,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,706,453 : 327,634,230 = 327,634,230 : x
  2. Step 2: Convert to fraction form
    149,706,453/327,634,230 = 327,634,230/x
  3. Step 3: Cross multiply
    149,706,453x = 327,634,230 × 327,634,230
  4. Step 4: Simplify right side
    149,706,453x = 107,344,188,667,692,896
  5. Step 5: Solve for x
    x = 107,344,188,667,692,896/149,706,453
  6. Step 6: Final answer
    x = 717,031,140.05

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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.