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Finding the Third Proportional to 94,540,350 and 205,645,032

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Solution

The third proportional to 94,540,350 and 205,645,032 is: 447,320,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,350 : 205,645,032 = 205,645,032 : x
  2. Step 2: Convert to fraction form
    94,540,350/205,645,032 = 205,645,032/x
  3. Step 3: Cross multiply
    94,540,350x = 205,645,032 × 205,645,032
  4. Step 4: Simplify right side
    94,540,350x = 42,289,879,186,281,024
  5. Step 5: Solve for x
    x = 42,289,879,186,281,024/94,540,350
  6. Step 6: Final answer
    x = 447,320,950.12

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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.