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Finding the Third Proportional to 55,518,156 and 120,293,842.50

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Solution

The third proportional to 55,518,156 and 120,293,842.50 is: 260,646,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,518,156 : 120,293,842.50 = 120,293,842.50 : x
  2. Step 2: Convert to fraction form
    55,518,156/120,293,842.50 = 120,293,842.50/x
  3. Step 3: Cross multiply
    55,518,156x = 120,293,842.50 × 120,293,842.50
  4. Step 4: Simplify right side
    55,518,156x = 14,470,608,543,414,806
  5. Step 5: Solve for x
    x = 14,470,608,543,414,806/55,518,156
  6. Step 6: Final answer
    x = 260,646,418.87

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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.