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Finding the Third Proportional to 162,292,977 and 251,338,909.50

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Solution

The third proportional to 162,292,977 and 251,338,909.50 is: 389,242,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,292,977 : 251,338,909.50 = 251,338,909.50 : x
  2. Step 2: Convert to fraction form
    162,292,977/251,338,909.50 = 251,338,909.50/x
  3. Step 3: Cross multiply
    162,292,977x = 251,338,909.50 × 251,338,909.50
  4. Step 4: Simplify right side
    162,292,977x = 63,171,247,428,649,192
  5. Step 5: Solve for x
    x = 63,171,247,428,649,192/162,292,977
  6. Step 6: Final answer
    x = 389,242,027.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.