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Finding the Third Proportional to 156,892,297.50 and 342,034,036.88

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Solution

The third proportional to 156,892,297.50 and 342,034,036.88 is: 745,653,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,892,297.50 : 342,034,036.88 = 342,034,036.88 : x
  2. Step 2: Convert to fraction form
    156,892,297.50/342,034,036.88 = 342,034,036.88/x
  3. Step 3: Cross multiply
    156,892,297.50x = 342,034,036.88 × 342,034,036.88
  4. Step 4: Simplify right side
    156,892,297.50x = 116,987,282,381,008,864
  5. Step 5: Solve for x
    x = 116,987,282,381,008,864/156,892,297.50
  6. Step 6: Final answer
    x = 745,653,446.63

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