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Finding the Third Proportional to 102,089,086 and 156,918,110

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Solution

The third proportional to 102,089,086 and 156,918,110 is: 241,194,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,086 : 156,918,110 = 156,918,110 : x
  2. Step 2: Convert to fraction form
    102,089,086/156,918,110 = 156,918,110/x
  3. Step 3: Cross multiply
    102,089,086x = 156,918,110 × 156,918,110
  4. Step 4: Simplify right side
    102,089,086x = 24,623,293,245,972,100
  5. Step 5: Solve for x
    x = 24,623,293,245,972,100/102,089,086
  6. Step 6: Final answer
    x = 241,194,178.64

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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.