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Finding the Third Proportional to 156,421,742 and 213,019,714

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Solution

The third proportional to 156,421,742 and 213,019,714 is: 290,096,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,421,742 : 213,019,714 = 213,019,714 : x
  2. Step 2: Convert to fraction form
    156,421,742/213,019,714 = 213,019,714/x
  3. Step 3: Cross multiply
    156,421,742x = 213,019,714 × 213,019,714
  4. Step 4: Simplify right side
    156,421,742x = 45,377,398,552,641,792
  5. Step 5: Solve for x
    x = 45,377,398,552,641,792/156,421,742
  6. Step 6: Final answer
    x = 290,096,491.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.