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Finding the Third Proportional to 214,150,867.50 and 288,939,801

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Solution

The third proportional to 214,150,867.50 and 288,939,801 is: 389,847,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,867.50 : 288,939,801 = 288,939,801 : x
  2. Step 2: Convert to fraction form
    214,150,867.50/288,939,801 = 288,939,801/x
  3. Step 3: Cross multiply
    214,150,867.50x = 288,939,801 × 288,939,801
  4. Step 4: Simplify right side
    214,150,867.50x = 83,486,208,601,919,600
  5. Step 5: Solve for x
    x = 83,486,208,601,919,600/214,150,867.50
  6. Step 6: Final answer
    x = 389,847,632.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.