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Finding the Third Proportional to 135,084,945 and 318,567,832.50

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Solution

The third proportional to 135,084,945 and 318,567,832.50 is: 751,271,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,084,945 : 318,567,832.50 = 318,567,832.50 : x
  2. Step 2: Convert to fraction form
    135,084,945/318,567,832.50 = 318,567,832.50/x
  3. Step 3: Cross multiply
    135,084,945x = 318,567,832.50 × 318,567,832.50
  4. Step 4: Simplify right side
    135,084,945x = 101,485,463,903,748,064
  5. Step 5: Solve for x
    x = 101,485,463,903,748,064/135,084,945
  6. Step 6: Final answer
    x = 751,271,460.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.