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Finding the Third Proportional to 200,361,503.81 and 306,501,147.28

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Solution

The third proportional to 200,361,503.81 and 306,501,147.28 is: 468,867,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,361,503.81 : 306,501,147.28 = 306,501,147.28 : x
  2. Step 2: Convert to fraction form
    200,361,503.81/306,501,147.28 = 306,501,147.28/x
  3. Step 3: Cross multiply
    200,361,503.81x = 306,501,147.28 × 306,501,147.28
  4. Step 4: Simplify right side
    200,361,503.81x = 93,942,953,284,722,512
  5. Step 5: Solve for x
    x = 93,942,953,284,722,512/200,361,503.81
  6. Step 6: Final answer
    x = 468,867,279.88

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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.