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Finding the Third Proportional to 142,408,992 and 292,367,512

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Solution

The third proportional to 142,408,992 and 292,367,512 is: 600,234,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408,992 : 292,367,512 = 292,367,512 : x
  2. Step 2: Convert to fraction form
    142,408,992/292,367,512 = 292,367,512/x
  3. Step 3: Cross multiply
    142,408,992x = 292,367,512 × 292,367,512
  4. Step 4: Simplify right side
    142,408,992x = 85,478,762,073,070,144
  5. Step 5: Solve for x
    x = 85,478,762,073,070,144/142,408,992
  6. Step 6: Final answer
    x = 600,234,303.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.