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Finding the Third Proportional to 57,000,101 and 119,598,922

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Solution

The third proportional to 57,000,101 and 119,598,922 is: 250,945,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000,101 : 119,598,922 = 119,598,922 : x
  2. Step 2: Convert to fraction form
    57,000,101/119,598,922 = 119,598,922/x
  3. Step 3: Cross multiply
    57,000,101x = 119,598,922 × 119,598,922
  4. Step 4: Simplify right side
    57,000,101x = 14,303,902,143,562,084
  5. Step 5: Solve for x
    x = 14,303,902,143,562,084/57,000,101
  6. Step 6: Final answer
    x = 250,945,206.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.