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Finding the Third Proportional to 150,733,008 and 326,507,200.50

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Solution

The third proportional to 150,733,008 and 326,507,200.50 is: 707,256,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,733,008 : 326,507,200.50 = 326,507,200.50 : x
  2. Step 2: Convert to fraction form
    150,733,008/326,507,200.50 = 326,507,200.50/x
  3. Step 3: Cross multiply
    150,733,008x = 326,507,200.50 × 326,507,200.50
  4. Step 4: Simplify right side
    150,733,008x = 106,606,951,978,347,200
  5. Step 5: Solve for x
    x = 106,606,951,978,347,200/150,733,008
  6. Step 6: Final answer
    x = 707,256,847.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.