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Finding the Third Proportional to 102,166,860 and 153,100,689

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Solution

The third proportional to 102,166,860 and 153,100,689 is: 229,426,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166,860 : 153,100,689 = 153,100,689 : x
  2. Step 2: Convert to fraction form
    102,166,860/153,100,689 = 153,100,689/x
  3. Step 3: Cross multiply
    102,166,860x = 153,100,689 × 153,100,689
  4. Step 4: Simplify right side
    102,166,860x = 23,439,820,972,274,720
  5. Step 5: Solve for x
    x = 23,439,820,972,274,720/102,166,860
  6. Step 6: Final answer
    x = 229,426,851.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.