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Finding the Third Proportional to 122,872,384 and 263,979,362

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Solution

The third proportional to 122,872,384 and 263,979,362 is: 567,133,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,872,384 : 263,979,362 = 263,979,362 : x
  2. Step 2: Convert to fraction form
    122,872,384/263,979,362 = 263,979,362/x
  3. Step 3: Cross multiply
    122,872,384x = 263,979,362 × 263,979,362
  4. Step 4: Simplify right side
    122,872,384x = 69,685,103,561,927,040
  5. Step 5: Solve for x
    x = 69,685,103,561,927,040/122,872,384
  6. Step 6: Final answer
    x = 567,133,975.05

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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.