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Finding the Third Proportional to 149,463,498 and 210,385,823

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Solution

The third proportional to 149,463,498 and 210,385,823 is: 296,140,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,463,498 : 210,385,823 = 210,385,823 : x
  2. Step 2: Convert to fraction form
    149,463,498/210,385,823 = 210,385,823/x
  3. Step 3: Cross multiply
    149,463,498x = 210,385,823 × 210,385,823
  4. Step 4: Simplify right side
    149,463,498x = 44,262,194,519,387,328
  5. Step 5: Solve for x
    x = 44,262,194,519,387,328/149,463,498
  6. Step 6: Final answer
    x = 296,140,496.59

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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.