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Finding the Third Proportional to 82,557,134 and 192,784,829

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Solution

The third proportional to 82,557,134 and 192,784,829 is: 450,185,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,557,134 : 192,784,829 = 192,784,829 : x
  2. Step 2: Convert to fraction form
    82,557,134/192,784,829 = 192,784,829/x
  3. Step 3: Cross multiply
    82,557,134x = 192,784,829 × 192,784,829
  4. Step 4: Simplify right side
    82,557,134x = 37,165,990,292,559,240
  5. Step 5: Solve for x
    x = 37,165,990,292,559,240/82,557,134
  6. Step 6: Final answer
    x = 450,185,083.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.