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Finding the Third Proportional to 102,089,080 and 156,918,101

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Solution

The third proportional to 102,089,080 and 156,918,101 is: 241,194,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,080 : 156,918,101 = 156,918,101 : x
  2. Step 2: Convert to fraction form
    102,089,080/156,918,101 = 156,918,101/x
  3. Step 3: Cross multiply
    102,089,080x = 156,918,101 × 156,918,101
  4. Step 4: Simplify right side
    102,089,080x = 24,623,290,421,446,200
  5. Step 5: Solve for x
    x = 24,623,290,421,446,200/102,089,080
  6. Step 6: Final answer
    x = 241,194,165.15

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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.