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Finding the Third Proportional to 94,531,898 and 205,197,376

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Solution

The third proportional to 94,531,898 and 205,197,376 is: 445,415,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,531,898 : 205,197,376 = 205,197,376 : x
  2. Step 2: Convert to fraction form
    94,531,898/205,197,376 = 205,197,376/x
  3. Step 3: Cross multiply
    94,531,898x = 205,197,376 × 205,197,376
  4. Step 4: Simplify right side
    94,531,898x = 42,105,963,117,285,376
  5. Step 5: Solve for x
    x = 42,105,963,117,285,376/94,531,898
  6. Step 6: Final answer
    x = 445,415,399.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.