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Finding the Third Proportional to 174,747,846.50 and 271,329,345.38

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Solution

The third proportional to 174,747,846.50 and 271,329,345.38 is: 421,290,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,747,846.50 : 271,329,345.38 = 271,329,345.38 : x
  2. Step 2: Convert to fraction form
    174,747,846.50/271,329,345.38 = 271,329,345.38/x
  3. Step 3: Cross multiply
    174,747,846.50x = 271,329,345.38 × 271,329,345.38
  4. Step 4: Simplify right side
    174,747,846.50x = 73,619,613,661,626,032
  5. Step 5: Solve for x
    x = 73,619,613,661,626,032/174,747,846.50
  6. Step 6: Final answer
    x = 421,290,534.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.