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Finding the Third Proportional to 102,089,024 and 156,918,018

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Solution

The third proportional to 102,089,024 and 156,918,018 is: 241,194,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,024 : 156,918,018 = 156,918,018 : x
  2. Step 2: Convert to fraction form
    102,089,024/156,918,018 = 156,918,018/x
  3. Step 3: Cross multiply
    102,089,024x = 156,918,018 × 156,918,018
  4. Step 4: Simplify right side
    102,089,024x = 24,623,264,373,048,324
  5. Step 5: Solve for x
    x = 24,623,264,373,048,324/102,089,024
  6. Step 6: Final answer
    x = 241,194,042.30

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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.