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Finding the Third Proportional to 200,013,148 and 300,552,330

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Solution

The third proportional to 200,013,148 and 300,552,330 is: 451,628,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,013,148 : 300,552,330 = 300,552,330 : x
  2. Step 2: Convert to fraction form
    200,013,148/300,552,330 = 300,552,330/x
  3. Step 3: Cross multiply
    200,013,148x = 300,552,330 × 300,552,330
  4. Step 4: Simplify right side
    200,013,148x = 90,331,703,068,428,896
  5. Step 5: Solve for x
    x = 90,331,703,068,428,896/200,013,148
  6. Step 6: Final answer
    x = 451,628,825.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.