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Finding the Third Proportional to 172,583,976 and 369,732,336

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Solution

The third proportional to 172,583,976 and 369,732,336 is: 792,089,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,583,976 : 369,732,336 = 369,732,336 : x
  2. Step 2: Convert to fraction form
    172,583,976/369,732,336 = 369,732,336/x
  3. Step 3: Cross multiply
    172,583,976x = 369,732,336 × 369,732,336
  4. Step 4: Simplify right side
    172,583,976x = 136,702,000,284,016,896
  5. Step 5: Solve for x
    x = 136,702,000,284,016,896/172,583,976
  6. Step 6: Final answer
    x = 792,089,760.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.