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Finding the Third Proportional to 201,397,328 and 310,992,707

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Solution

The third proportional to 201,397,328 and 310,992,707 is: 480,227,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,328 : 310,992,707 = 310,992,707 : x
  2. Step 2: Convert to fraction form
    201,397,328/310,992,707 = 310,992,707/x
  3. Step 3: Cross multiply
    201,397,328x = 310,992,707 × 310,992,707
  4. Step 4: Simplify right side
    201,397,328x = 96,716,463,807,187,856
  5. Step 5: Solve for x
    x = 96,716,463,807,187,856/201,397,328
  6. Step 6: Final answer
    x = 480,227,144.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.