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Finding the Third Proportional to 181,918,224 and 279,903,672

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Solution

The third proportional to 181,918,224 and 279,903,672 is: 430,666,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,918,224 : 279,903,672 = 279,903,672 : x
  2. Step 2: Convert to fraction form
    181,918,224/279,903,672 = 279,903,672/x
  3. Step 3: Cross multiply
    181,918,224x = 279,903,672 × 279,903,672
  4. Step 4: Simplify right side
    181,918,224x = 78,346,065,599,083,584
  5. Step 5: Solve for x
    x = 78,346,065,599,083,584/181,918,224
  6. Step 6: Final answer
    x = 430,666,394.36

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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.