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Finding the Third Proportional to 144,523,416 and 206,023,464

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Solution

The third proportional to 144,523,416 and 206,023,464 is: 293,694,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,523,416 : 206,023,464 = 206,023,464 : x
  2. Step 2: Convert to fraction form
    144,523,416/206,023,464 = 206,023,464/x
  3. Step 3: Cross multiply
    144,523,416x = 206,023,464 × 206,023,464
  4. Step 4: Simplify right side
    144,523,416x = 42,445,667,718,559,296
  5. Step 5: Solve for x
    x = 42,445,667,718,559,296/144,523,416
  6. Step 6: Final answer
    x = 293,694,052.45

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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.