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Finding the Third Proportional to 211,102.88 and 430,801.88

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Solution

The third proportional to 211,102.88 and 430,801.88 is: 879,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,102.88 : 430,801.88 = 430,801.88 : x
  2. Step 2: Convert to fraction form
    211,102.88/430,801.88 = 430,801.88/x
  3. Step 3: Cross multiply
    211,102.88x = 430,801.88 × 430,801.88
  4. Step 4: Simplify right side
    211,102.88x = 185,590,255,503.52
  5. Step 5: Solve for x
    x = 185,590,255,503.52/211,102.88
  6. Step 6: Final answer
    x = 879,146.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.