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Finding the Third Proportional to 102,089,026 and 156,918,021

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Solution

The third proportional to 102,089,026 and 156,918,021 is: 241,194,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,026 : 156,918,021 = 156,918,021 : x
  2. Step 2: Convert to fraction form
    102,089,026/156,918,021 = 156,918,021/x
  3. Step 3: Cross multiply
    102,089,026x = 156,918,021 × 156,918,021
  4. Step 4: Simplify right side
    102,089,026x = 24,623,265,314,556,440
  5. Step 5: Solve for x
    x = 24,623,265,314,556,440/102,089,026
  6. Step 6: Final answer
    x = 241,194,046.80

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