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Finding the Third Proportional to 214,150,882 and 288,939,823

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Solution

The third proportional to 214,150,882 and 288,939,823 is: 389,847,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,882 : 288,939,823 = 288,939,823 : x
  2. Step 2: Convert to fraction form
    214,150,882/288,939,823 = 288,939,823/x
  3. Step 3: Cross multiply
    214,150,882x = 288,939,823 × 288,939,823
  4. Step 4: Simplify right side
    214,150,882x = 83,486,221,315,271,328
  5. Step 5: Solve for x
    x = 83,486,221,315,271,328/214,150,882
  6. Step 6: Final answer
    x = 389,847,665.05

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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.