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Finding the Third Proportional to 214,150,865.63 and 288,939,798

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Solution

The third proportional to 214,150,865.63 and 288,939,798 is: 389,847,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,865.63 : 288,939,798 = 288,939,798 : x
  2. Step 2: Convert to fraction form
    214,150,865.63/288,939,798 = 288,939,798/x
  3. Step 3: Cross multiply
    214,150,865.63x = 288,939,798 × 288,939,798
  4. Step 4: Simplify right side
    214,150,865.63x = 83,486,206,868,280,800
  5. Step 5: Solve for x
    x = 83,486,206,868,280,800/214,150,865.63
  6. Step 6: Final answer
    x = 389,847,627.39

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