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Finding the Third Proportional to 94,540,048 and 205,644,432

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Solution

The third proportional to 94,540,048 and 205,644,432 is: 447,319,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,048 : 205,644,432 = 205,644,432 : x
  2. Step 2: Convert to fraction form
    94,540,048/205,644,432 = 205,644,432/x
  3. Step 3: Cross multiply
    94,540,048x = 205,644,432 × 205,644,432
  4. Step 4: Simplify right side
    94,540,048x = 42,289,632,412,602,624
  5. Step 5: Solve for x
    x = 42,289,632,412,602,624/94,540,048
  6. Step 6: Final answer
    x = 447,319,768.79

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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.