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Finding the Third Proportional to 140,985,708.75 and 215,530,787.25

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Solution

The third proportional to 140,985,708.75 and 215,530,787.25 is: 329,490,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,985,708.75 : 215,530,787.25 = 215,530,787.25 : x
  2. Step 2: Convert to fraction form
    140,985,708.75/215,530,787.25 = 215,530,787.25/x
  3. Step 3: Cross multiply
    140,985,708.75x = 215,530,787.25 × 215,530,787.25
  4. Step 4: Simplify right side
    140,985,708.75x = 46,453,520,252,604,760
  5. Step 5: Solve for x
    x = 46,453,520,252,604,760/140,985,708.75
  6. Step 6: Final answer
    x = 329,490,986.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.