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Finding the Third Proportional to 55,095,234 and 120,110,714

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Solution

The third proportional to 55,095,234 and 120,110,714 is: 261,848,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,095,234 : 120,110,714 = 120,110,714 : x
  2. Step 2: Convert to fraction form
    55,095,234/120,110,714 = 120,110,714/x
  3. Step 3: Cross multiply
    55,095,234x = 120,110,714 × 120,110,714
  4. Step 4: Simplify right side
    55,095,234x = 14,426,583,617,589,796
  5. Step 5: Solve for x
    x = 14,426,583,617,589,796/55,095,234
  6. Step 6: Final answer
    x = 261,848,123.15

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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.