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Finding the Third Proportional to 90,920,083 and 199,442,762

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Solution

The third proportional to 90,920,083 and 199,442,762 is: 437,498,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,920,083 : 199,442,762 = 199,442,762 : x
  2. Step 2: Convert to fraction form
    90,920,083/199,442,762 = 199,442,762/x
  3. Step 3: Cross multiply
    90,920,083x = 199,442,762 × 199,442,762
  4. Step 4: Simplify right side
    90,920,083x = 39,777,415,314,188,640
  5. Step 5: Solve for x
    x = 39,777,415,314,188,640/90,920,083
  6. Step 6: Final answer
    x = 437,498,669.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.