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Finding the Third Proportional to 166,908,643.50 and 255,319,794

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Solution

The third proportional to 166,908,643.50 and 255,319,794 is: 390,562,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,908,643.50 : 255,319,794 = 255,319,794 : x
  2. Step 2: Convert to fraction form
    166,908,643.50/255,319,794 = 255,319,794/x
  3. Step 3: Cross multiply
    166,908,643.50x = 255,319,794 × 255,319,794
  4. Step 4: Simplify right side
    166,908,643.50x = 65,188,197,208,202,432
  5. Step 5: Solve for x
    x = 65,188,197,208,202,432/166,908,643.50
  6. Step 6: Final answer
    x = 390,562,141.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.