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Finding the Third Proportional to 156,892,297 and 342,034,035

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Solution

The third proportional to 156,892,297 and 342,034,035 is: 745,653,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,892,297 : 342,034,035 = 342,034,035 : x
  2. Step 2: Convert to fraction form
    156,892,297/342,034,035 = 342,034,035/x
  3. Step 3: Cross multiply
    156,892,297x = 342,034,035 × 342,034,035
  4. Step 4: Simplify right side
    156,892,297x = 116,987,281,098,381,232
  5. Step 5: Solve for x
    x = 116,987,281,098,381,232/156,892,297
  6. Step 6: Final answer
    x = 745,653,440.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.