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Finding the Third Proportional to 102,089,022 and 156,918,015

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Solution

The third proportional to 102,089,022 and 156,918,015 is: 241,194,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,022 : 156,918,015 = 156,918,015 : x
  2. Step 2: Convert to fraction form
    102,089,022/156,918,015 = 156,918,015/x
  3. Step 3: Cross multiply
    102,089,022x = 156,918,015 × 156,918,015
  4. Step 4: Simplify right side
    102,089,022x = 24,623,263,431,540,224
  5. Step 5: Solve for x
    x = 24,623,263,431,540,224/102,089,022
  6. Step 6: Final answer
    x = 241,194,037.80

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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.