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Finding the Third Proportional to 150,089,468,626 and 228,650,923,520

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Solution

The third proportional to 150,089,468,626 and 228,650,923,520 is: 348,333,865,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,089,468,626 : 228,650,923,520 = 228,650,923,520 : x
  2. Step 2: Convert to fraction form
    150,089,468,626/228,650,923,520 = 228,650,923,520/x
  3. Step 3: Cross multiply
    150,089,468,626x = 228,650,923,520 × 228,650,923,520
  4. Step 4: Simplify right side
    150,089,468,626x = 52,281,244,826,548,891,025,408
  5. Step 5: Solve for x
    x = 52,281,244,826,548,891,025,408/150,089,468,626
  6. Step 6: Final answer
    x = 348,333,865,827.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.