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Finding the Third Proportional to 140,829,230 and 215,426,164

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Solution

The third proportional to 140,829,230 and 215,426,164 is: 329,536,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,829,230 : 215,426,164 = 215,426,164 : x
  2. Step 2: Convert to fraction form
    140,829,230/215,426,164 = 215,426,164/x
  3. Step 3: Cross multiply
    140,829,230x = 215,426,164 × 215,426,164
  4. Step 4: Simplify right side
    140,829,230x = 46,408,432,135,754,896
  5. Step 5: Solve for x
    x = 46,408,432,135,754,896/140,829,230
  6. Step 6: Final answer
    x = 329,536,930.19

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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.