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Finding the Third Proportional to 201,083,951 and 433,911,100

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Solution

The third proportional to 201,083,951 and 433,911,100 is: 936,319,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083,951 : 433,911,100 = 433,911,100 : x
  2. Step 2: Convert to fraction form
    201,083,951/433,911,100 = 433,911,100/x
  3. Step 3: Cross multiply
    201,083,951x = 433,911,100 × 433,911,100
  4. Step 4: Simplify right side
    201,083,951x = 188,278,842,703,209,984
  5. Step 5: Solve for x
    x = 188,278,842,703,209,984/201,083,951
  6. Step 6: Final answer
    x = 936,319,590.73

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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.