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Finding the Third Proportional to 119,662,838 and 257,201,662

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Solution

The third proportional to 119,662,838 and 257,201,662 is: 552,825,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,662,838 : 257,201,662 = 257,201,662 : x
  2. Step 2: Convert to fraction form
    119,662,838/257,201,662 = 257,201,662/x
  3. Step 3: Cross multiply
    119,662,838x = 257,201,662 × 257,201,662
  4. Step 4: Simplify right side
    119,662,838x = 66,152,694,935,562,240
  5. Step 5: Solve for x
    x = 66,152,694,935,562,240/119,662,838
  6. Step 6: Final answer
    x = 552,825,723.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.