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Finding the Third Proportional to 120,539,934 and 261,628,918.50

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Solution

The third proportional to 120,539,934 and 261,628,918.50 is: 567,859,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539,934 : 261,628,918.50 = 261,628,918.50 : x
  2. Step 2: Convert to fraction form
    120,539,934/261,628,918.50 = 261,628,918.50/x
  3. Step 3: Cross multiply
    120,539,934x = 261,628,918.50 × 261,628,918.50
  4. Step 4: Simplify right side
    120,539,934x = 68,449,690,995,479,640
  5. Step 5: Solve for x
    x = 68,449,690,995,479,640/120,539,934
  6. Step 6: Final answer
    x = 567,859,038.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.