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Finding the Third Proportional to 200,361,512 and 306,501,160

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Solution

The third proportional to 200,361,512 and 306,501,160 is: 468,867,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,361,512 : 306,501,160 = 306,501,160 : x
  2. Step 2: Convert to fraction form
    200,361,512/306,501,160 = 306,501,160/x
  3. Step 3: Cross multiply
    200,361,512x = 306,501,160 × 306,501,160
  4. Step 4: Simplify right side
    200,361,512x = 93,942,961,081,345,600
  5. Step 5: Solve for x
    x = 93,942,961,081,345,600/200,361,512
  6. Step 6: Final answer
    x = 468,867,299.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.