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Finding the Third Proportional to 172,236,132 and 377,953,128

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Solution

The third proportional to 172,236,132 and 377,953,128 is: 829,376,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,236,132 : 377,953,128 = 377,953,128 : x
  2. Step 2: Convert to fraction form
    172,236,132/377,953,128 = 377,953,128/x
  3. Step 3: Cross multiply
    172,236,132x = 377,953,128 × 377,953,128
  4. Step 4: Simplify right side
    172,236,132x = 142,848,566,964,984,384
  5. Step 5: Solve for x
    x = 142,848,566,964,984,384/172,236,132
  6. Step 6: Final answer
    x = 829,376,306.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.