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Finding the Third Proportional to 149,463,491 and 210,385,814

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Solution

The third proportional to 149,463,491 and 210,385,814 is: 296,140,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,463,491 : 210,385,814 = 210,385,814 : x
  2. Step 2: Convert to fraction form
    149,463,491/210,385,814 = 210,385,814/x
  3. Step 3: Cross multiply
    149,463,491x = 210,385,814 × 210,385,814
  4. Step 4: Simplify right side
    149,463,491x = 44,262,190,732,442,592
  5. Step 5: Solve for x
    x = 44,262,190,732,442,592/149,463,491
  6. Step 6: Final answer
    x = 296,140,485.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.