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Finding the Third Proportional to 100,934,820 and 151,233,678

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Solution

The third proportional to 100,934,820 and 151,233,678 is: 226,597,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,934,820 : 151,233,678 = 151,233,678 : x
  2. Step 2: Convert to fraction form
    100,934,820/151,233,678 = 151,233,678/x
  3. Step 3: Cross multiply
    100,934,820x = 151,233,678 × 151,233,678
  4. Step 4: Simplify right side
    100,934,820x = 22,871,625,361,407,684
  5. Step 5: Solve for x
    x = 22,871,625,361,407,684/100,934,820
  6. Step 6: Final answer
    x = 226,597,970.47

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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.