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Finding the Third Proportional to 102,089,084 and 156,918,107

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Solution

The third proportional to 102,089,084 and 156,918,107 is: 241,194,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,084 : 156,918,107 = 156,918,107 : x
  2. Step 2: Convert to fraction form
    102,089,084/156,918,107 = 156,918,107/x
  3. Step 3: Cross multiply
    102,089,084x = 156,918,107 × 156,918,107
  4. Step 4: Simplify right side
    102,089,084x = 24,623,292,304,463,448
  5. Step 5: Solve for x
    x = 24,623,292,304,463,448/102,089,084
  6. Step 6: Final answer
    x = 241,194,174.14

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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.