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Finding the Third Proportional to 173,330,140 and 269,251,566

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Solution

The third proportional to 173,330,140 and 269,251,566 is: 418,256,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,330,140 : 269,251,566 = 269,251,566 : x
  2. Step 2: Convert to fraction form
    173,330,140/269,251,566 = 269,251,566/x
  3. Step 3: Cross multiply
    173,330,140x = 269,251,566 × 269,251,566
  4. Step 4: Simplify right side
    173,330,140x = 72,496,405,793,452,352
  5. Step 5: Solve for x
    x = 72,496,405,793,452,352/173,330,140
  6. Step 6: Final answer
    x = 418,256,200.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.