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Finding the Third Proportional to 131,467,809 and 205,160,532

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Solution

The third proportional to 131,467,809 and 205,160,532 is: 320,160,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,467,809 : 205,160,532 = 205,160,532 : x
  2. Step 2: Convert to fraction form
    131,467,809/205,160,532 = 205,160,532/x
  3. Step 3: Cross multiply
    131,467,809x = 205,160,532 × 205,160,532
  4. Step 4: Simplify right side
    131,467,809x = 42,090,843,890,523,024
  5. Step 5: Solve for x
    x = 42,090,843,890,523,024/131,467,809
  6. Step 6: Final answer
    x = 320,160,837.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.