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Finding the Third Proportional to 133,903,927 and 206,822,619

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Solution

The third proportional to 133,903,927 and 206,822,619 is: 319,449,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,903,927 : 206,822,619 = 206,822,619 : x
  2. Step 2: Convert to fraction form
    133,903,927/206,822,619 = 206,822,619/x
  3. Step 3: Cross multiply
    133,903,927x = 206,822,619 × 206,822,619
  4. Step 4: Simplify right side
    133,903,927x = 42,775,595,730,019,160
  5. Step 5: Solve for x
    x = 42,775,595,730,019,160/133,903,927
  6. Step 6: Final answer
    x = 319,449,897.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.