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Finding the Third Proportional to 83,178,057 and 185,481,399

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Solution

The third proportional to 83,178,057 and 185,481,399 is: 413,610,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,057 : 185,481,399 = 185,481,399 : x
  2. Step 2: Convert to fraction form
    83,178,057/185,481,399 = 185,481,399/x
  3. Step 3: Cross multiply
    83,178,057x = 185,481,399 × 185,481,399
  4. Step 4: Simplify right side
    83,178,057x = 34,403,349,374,997,200
  5. Step 5: Solve for x
    x = 34,403,349,374,997,200/83,178,057
  6. Step 6: Final answer
    x = 413,610,880.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.