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Finding the Third Proportional to 200,429,631 and 419,185,044

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Solution

The third proportional to 200,429,631 and 419,185,044 is: 876,697,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,631 : 419,185,044 = 419,185,044 : x
  2. Step 2: Convert to fraction form
    200,429,631/419,185,044 = 419,185,044/x
  3. Step 3: Cross multiply
    200,429,631x = 419,185,044 × 419,185,044
  4. Step 4: Simplify right side
    200,429,631x = 175,716,101,113,281,920
  5. Step 5: Solve for x
    x = 175,716,101,113,281,920/200,429,631
  6. Step 6: Final answer
    x = 876,697,224.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.