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Finding the Third Proportional to 200,433,214.13 and 419,192,101.13

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Solution

The third proportional to 200,433,214.13 and 419,192,101.13 is: 876,711,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433,214.13 : 419,192,101.13 = 419,192,101.13 : x
  2. Step 2: Convert to fraction form
    200,433,214.13/419,192,101.13 = 419,192,101.13/x
  3. Step 3: Cross multiply
    200,433,214.13x = 419,192,101.13 × 419,192,101.13
  4. Step 4: Simplify right side
    200,433,214.13x = 175,722,017,645,592,224
  5. Step 5: Solve for x
    x = 175,722,017,645,592,224/200,433,214.13
  6. Step 6: Final answer
    x = 876,711,070.13

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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.