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Finding the Third Proportional to 46,203,384.75 and 69,161,145

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Solution

The third proportional to 46,203,384.75 and 69,161,145 is: 103,526,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,203,384.75 : 69,161,145 = 69,161,145 : x
  2. Step 2: Convert to fraction form
    46,203,384.75/69,161,145 = 69,161,145/x
  3. Step 3: Cross multiply
    46,203,384.75x = 69,161,145 × 69,161,145
  4. Step 4: Simplify right side
    46,203,384.75x = 4,783,263,977,711,025
  5. Step 5: Solve for x
    x = 4,783,263,977,711,025/46,203,384.75
  6. Step 6: Final answer
    x = 103,526,267.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.