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Finding the Third Proportional to 102,089,042 and 156,918,045

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Solution

The third proportional to 102,089,042 and 156,918,045 is: 241,194,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,042 : 156,918,045 = 156,918,045 : x
  2. Step 2: Convert to fraction form
    102,089,042/156,918,045 = 156,918,045/x
  3. Step 3: Cross multiply
    102,089,042x = 156,918,045 × 156,918,045
  4. Step 4: Simplify right side
    102,089,042x = 24,623,272,846,622,024
  5. Step 5: Solve for x
    x = 24,623,272,846,622,024/102,089,042
  6. Step 6: Final answer
    x = 241,194,082.78

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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.