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Finding the Third Proportional to 151,956,294 and 309,278,352

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Solution

The third proportional to 151,956,294 and 309,278,352 is: 629,477,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,956,294 : 309,278,352 = 309,278,352 : x
  2. Step 2: Convert to fraction form
    151,956,294/309,278,352 = 309,278,352/x
  3. Step 3: Cross multiply
    151,956,294x = 309,278,352 × 309,278,352
  4. Step 4: Simplify right side
    151,956,294x = 95,653,099,015,835,904
  5. Step 5: Solve for x
    x = 95,653,099,015,835,904/151,956,294
  6. Step 6: Final answer
    x = 629,477,703.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.