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Finding the Third Proportional to 303,079,164.75 and 443,281,339.13

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Solution

The third proportional to 303,079,164.75 and 443,281,339.13 is: 648,339,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,079,164.75 : 443,281,339.13 = 443,281,339.13 : x
  2. Step 2: Convert to fraction form
    303,079,164.75/443,281,339.13 = 443,281,339.13/x
  3. Step 3: Cross multiply
    303,079,164.75x = 443,281,339.13 × 443,281,339.13
  4. Step 4: Simplify right side
    303,079,164.75x = 196,498,345,616,453,248
  5. Step 5: Solve for x
    x = 196,498,345,616,453,248/303,079,164.75
  6. Step 6: Final answer
    x = 648,339,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.