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Finding the Third Proportional to 55,516,754 and 120,290,948

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Solution

The third proportional to 55,516,754 and 120,290,948 is: 260,640,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,516,754 : 120,290,948 = 120,290,948 : x
  2. Step 2: Convert to fraction form
    55,516,754/120,290,948 = 120,290,948/x
  3. Step 3: Cross multiply
    55,516,754x = 120,290,948 × 120,290,948
  4. Step 4: Simplify right side
    55,516,754x = 14,469,912,170,738,704
  5. Step 5: Solve for x
    x = 14,469,912,170,738,704/55,516,754
  6. Step 6: Final answer
    x = 260,640,457.67

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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.