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Finding the Third Proportional to 201,083,967 and 433,911,126

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Solution

The third proportional to 201,083,967 and 433,911,126 is: 936,319,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083,967 : 433,911,126 = 433,911,126 : x
  2. Step 2: Convert to fraction form
    201,083,967/433,911,126 = 433,911,126/x
  3. Step 3: Cross multiply
    201,083,967x = 433,911,126 × 433,911,126
  4. Step 4: Simplify right side
    201,083,967x = 188,278,865,266,587,872
  5. Step 5: Solve for x
    x = 188,278,865,266,587,872/201,083,967
  6. Step 6: Final answer
    x = 936,319,628.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.