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Finding the Third Proportional to 200,429,395.50 and 419,184,744

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Solution

The third proportional to 200,429,395.50 and 419,184,744 is: 876,696,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,395.50 : 419,184,744 = 419,184,744 : x
  2. Step 2: Convert to fraction form
    200,429,395.50/419,184,744 = 419,184,744/x
  3. Step 3: Cross multiply
    200,429,395.50x = 419,184,744 × 419,184,744
  4. Step 4: Simplify right side
    200,429,395.50x = 175,715,849,602,345,536
  5. Step 5: Solve for x
    x = 175,715,849,602,345,536/200,429,395.50
  6. Step 6: Final answer
    x = 876,696,999.28

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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.