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Finding the Third Proportional to 201,083,969 and 433,911,130

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Solution

The third proportional to 201,083,969 and 433,911,130 is: 936,319,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083,969 : 433,911,130 = 433,911,130 : x
  2. Step 2: Convert to fraction form
    201,083,969/433,911,130 = 433,911,130/x
  3. Step 3: Cross multiply
    201,083,969x = 433,911,130 × 433,911,130
  4. Step 4: Simplify right side
    201,083,969x = 188,278,868,737,876,896
  5. Step 5: Solve for x
    x = 188,278,868,737,876,896/201,083,969
  6. Step 6: Final answer
    x = 936,319,636.39

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