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Finding the Third Proportional to 156,892,296 and 342,034,033

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Solution

The third proportional to 156,892,296 and 342,034,033 is: 745,653,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,892,296 : 342,034,033 = 342,034,033 : x
  2. Step 2: Convert to fraction form
    156,892,296/342,034,033 = 342,034,033/x
  3. Step 3: Cross multiply
    156,892,296x = 342,034,033 × 342,034,033
  4. Step 4: Simplify right side
    156,892,296x = 116,987,279,730,245,088
  5. Step 5: Solve for x
    x = 116,987,279,730,245,088/156,892,296
  6. Step 6: Final answer
    x = 745,653,436.87

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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.