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Finding the Third Proportional to 181,918,140 and 279,903,546

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Solution

The third proportional to 181,918,140 and 279,903,546 is: 430,666,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,918,140 : 279,903,546 = 279,903,546 : x
  2. Step 2: Convert to fraction form
    181,918,140/279,903,546 = 279,903,546/x
  3. Step 3: Cross multiply
    181,918,140x = 279,903,546 × 279,903,546
  4. Step 4: Simplify right side
    181,918,140x = 78,345,995,063,374,112
  5. Step 5: Solve for x
    x = 78,345,995,063,374,112/181,918,140
  6. Step 6: Final answer
    x = 430,666,205.49

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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.