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Finding the Third Proportional to 150,009,160 and 225,413,136

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Solution

The third proportional to 150,009,160 and 225,413,136 is: 338,719,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,160 : 225,413,136 = 225,413,136 : x
  2. Step 2: Convert to fraction form
    150,009,160/225,413,136 = 225,413,136/x
  3. Step 3: Cross multiply
    150,009,160x = 225,413,136 × 225,413,136
  4. Step 4: Simplify right side
    150,009,160x = 50,811,081,881,354,496
  5. Step 5: Solve for x
    x = 50,811,081,881,354,496/150,009,160
  6. Step 6: Final answer
    x = 338,719,861.38

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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.