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Finding the Third Proportional to 221,545,342 and 482,102,390

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Solution

The third proportional to 221,545,342 and 482,102,390 is: 1,049,097,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,545,342 : 482,102,390 = 482,102,390 : x
  2. Step 2: Convert to fraction form
    221,545,342/482,102,390 = 482,102,390/x
  3. Step 3: Cross multiply
    221,545,342x = 482,102,390 × 482,102,390
  4. Step 4: Simplify right side
    221,545,342x = 232,422,714,443,712,096
  5. Step 5: Solve for x
    x = 232,422,714,443,712,096/221,545,342
  6. Step 6: Final answer
    x = 1,049,097,725.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.