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Finding the Third Proportional to 57,433,184 and 122,939,494

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Solution

The third proportional to 57,433,184 and 122,939,494 is: 263,160,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,433,184 : 122,939,494 = 122,939,494 : x
  2. Step 2: Convert to fraction form
    57,433,184/122,939,494 = 122,939,494/x
  3. Step 3: Cross multiply
    57,433,184x = 122,939,494 × 122,939,494
  4. Step 4: Simplify right side
    57,433,184x = 15,114,119,184,976,036
  5. Step 5: Solve for x
    x = 15,114,119,184,976,036/57,433,184
  6. Step 6: Final answer
    x = 263,160,043.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.