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Finding the Third Proportional to 148,505,856 and 212,056,150.50

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Solution

The third proportional to 148,505,856 and 212,056,150.50 is: 302,801,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,505,856 : 212,056,150.50 = 212,056,150.50 : x
  2. Step 2: Convert to fraction form
    148,505,856/212,056,150.50 = 212,056,150.50/x
  3. Step 3: Cross multiply
    148,505,856x = 212,056,150.50 × 212,056,150.50
  4. Step 4: Simplify right side
    148,505,856x = 44,967,810,964,878,648
  5. Step 5: Solve for x
    x = 44,967,810,964,878,648/148,505,856
  6. Step 6: Final answer
    x = 302,801,601.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.