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Finding the Third Proportional to 55,284,697.50 and 120,292,797

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Solution

The third proportional to 55,284,697.50 and 120,292,797 is: 261,742,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,284,697.50 : 120,292,797 = 120,292,797 : x
  2. Step 2: Convert to fraction form
    55,284,697.50/120,292,797 = 120,292,797/x
  3. Step 3: Cross multiply
    55,284,697.50x = 120,292,797 × 120,292,797
  4. Step 4: Simplify right side
    55,284,697.50x = 14,470,357,010,083,208
  5. Step 5: Solve for x
    x = 14,470,357,010,083,208/55,284,697.50
  6. Step 6: Final answer
    x = 261,742,537.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.