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Finding the Third Proportional to 230,173,002 and 493,177,248

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Solution

The third proportional to 230,173,002 and 493,177,248 is: 1,056,699,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,173,002 : 493,177,248 = 493,177,248 : x
  2. Step 2: Convert to fraction form
    230,173,002/493,177,248 = 493,177,248/x
  3. Step 3: Cross multiply
    230,173,002x = 493,177,248 × 493,177,248
  4. Step 4: Simplify right side
    230,173,002x = 243,223,797,944,853,504
  5. Step 5: Solve for x
    x = 243,223,797,944,853,504/230,173,002
  6. Step 6: Final answer
    x = 1,056,699,942.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.