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Finding the Third Proportional to 102,089,046 and 156,918,051

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Solution

The third proportional to 102,089,046 and 156,918,051 is: 241,194,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,046 : 156,918,051 = 156,918,051 : x
  2. Step 2: Convert to fraction form
    102,089,046/156,918,051 = 156,918,051/x
  3. Step 3: Cross multiply
    102,089,046x = 156,918,051 × 156,918,051
  4. Step 4: Simplify right side
    102,089,046x = 24,623,274,729,638,600
  5. Step 5: Solve for x
    x = 24,623,274,729,638,600/102,089,046
  6. Step 6: Final answer
    x = 241,194,091.77

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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.