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Finding the Third Proportional to 55,211,391 and 119,624,142

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Solution

The third proportional to 55,211,391 and 119,624,142 is: 259,184,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,211,391 : 119,624,142 = 119,624,142 : x
  2. Step 2: Convert to fraction form
    55,211,391/119,624,142 = 119,624,142/x
  3. Step 3: Cross multiply
    55,211,391x = 119,624,142 × 119,624,142
  4. Step 4: Simplify right side
    55,211,391x = 14,309,935,349,236,164
  5. Step 5: Solve for x
    x = 14,309,935,349,236,164/55,211,391
  6. Step 6: Final answer
    x = 259,184,474.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.