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Finding the Third Proportional to 144,523,418 and 206,023,467

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Solution

The third proportional to 144,523,418 and 206,023,467 is: 293,694,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,523,418 : 206,023,467 = 206,023,467 : x
  2. Step 2: Convert to fraction form
    144,523,418/206,023,467 = 206,023,467/x
  3. Step 3: Cross multiply
    144,523,418x = 206,023,467 × 206,023,467
  4. Step 4: Simplify right side
    144,523,418x = 42,445,668,954,700,088
  5. Step 5: Solve for x
    x = 42,445,668,954,700,088/144,523,418
  6. Step 6: Final answer
    x = 293,694,056.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.