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Finding the Third Proportional to 109,089,361.50 and 235,483,770

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Solution

The third proportional to 109,089,361.50 and 235,483,770 is: 508,322,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089,361.50 : 235,483,770 = 235,483,770 : x
  2. Step 2: Convert to fraction form
    109,089,361.50/235,483,770 = 235,483,770/x
  3. Step 3: Cross multiply
    109,089,361.50x = 235,483,770 × 235,483,770
  4. Step 4: Simplify right side
    109,089,361.50x = 55,452,605,933,412,896
  5. Step 5: Solve for x
    x = 55,452,605,933,412,896/109,089,361.50
  6. Step 6: Final answer
    x = 508,322,765.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.