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Finding the Third Proportional to 150,009,141 and 225,413,109

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Solution

The third proportional to 150,009,141 and 225,413,109 is: 338,719,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,141 : 225,413,109 = 225,413,109 : x
  2. Step 2: Convert to fraction form
    150,009,141/225,413,109 = 225,413,109/x
  3. Step 3: Cross multiply
    150,009,141x = 225,413,109 × 225,413,109
  4. Step 4: Simplify right side
    150,009,141x = 50,811,069,709,045,880
  5. Step 5: Solve for x
    x = 50,811,069,709,045,880/150,009,141
  6. Step 6: Final answer
    x = 338,719,823.14

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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.