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Finding the Third Proportional to 142,408,965 and 292,367,454

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Solution

The third proportional to 142,408,965 and 292,367,454 is: 600,234,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408,965 : 292,367,454 = 292,367,454 : x
  2. Step 2: Convert to fraction form
    142,408,965/292,367,454 = 292,367,454/x
  3. Step 3: Cross multiply
    142,408,965x = 292,367,454 × 292,367,454
  4. Step 4: Simplify right side
    142,408,965x = 85,478,728,158,442,112
  5. Step 5: Solve for x
    x = 85,478,728,158,442,112/142,408,965
  6. Step 6: Final answer
    x = 600,234,178.79

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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.