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Finding the Third Proportional to 55,095,233 and 120,110,712

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Solution

The third proportional to 55,095,233 and 120,110,712 is: 261,848,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,095,233 : 120,110,712 = 120,110,712 : x
  2. Step 2: Convert to fraction form
    55,095,233/120,110,712 = 120,110,712/x
  3. Step 3: Cross multiply
    55,095,233x = 120,110,712 × 120,110,712
  4. Step 4: Simplify right side
    55,095,233x = 14,426,583,137,146,944
  5. Step 5: Solve for x
    x = 14,426,583,137,146,944/55,095,233
  6. Step 6: Final answer
    x = 261,848,119.19

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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.