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Finding the Third Proportional to 72,642,298.50 and 110,308,704.75

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Solution

The third proportional to 72,642,298.50 and 110,308,704.75 is: 167,505,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,642,298.50 : 110,308,704.75 = 110,308,704.75 : x
  2. Step 2: Convert to fraction form
    72,642,298.50/110,308,704.75 = 110,308,704.75/x
  3. Step 3: Cross multiply
    72,642,298.50x = 110,308,704.75 × 110,308,704.75
  4. Step 4: Simplify right side
    72,642,298.50x = 12,168,010,343,622,672
  5. Step 5: Solve for x
    x = 12,168,010,343,622,672/72,642,298.50
  6. Step 6: Final answer
    x = 167,505,855.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.