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Finding the Third Proportional to 94,540,023 and 205,644,384

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Solution

The third proportional to 94,540,023 and 205,644,384 is: 447,319,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,023 : 205,644,384 = 205,644,384 : x
  2. Step 2: Convert to fraction form
    94,540,023/205,644,384 = 205,644,384/x
  3. Step 3: Cross multiply
    94,540,023x = 205,644,384 × 205,644,384
  4. Step 4: Simplify right side
    94,540,023x = 42,289,612,670,739,456
  5. Step 5: Solve for x
    x = 42,289,612,670,739,456/94,540,023
  6. Step 6: Final answer
    x = 447,319,678.26

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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.