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Finding the Third Proportional to 138,743,638,551 and 220,768,403,735

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Solution

The third proportional to 138,743,638,551 and 220,768,403,735 is: 351,285,929,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743,638,551 : 220,768,403,735 = 220,768,403,735 : x
  2. Step 2: Convert to fraction form
    138,743,638,551/220,768,403,735 = 220,768,403,735/x
  3. Step 3: Cross multiply
    138,743,638,551x = 220,768,403,735 × 220,768,403,735
  4. Step 4: Simplify right side
    138,743,638,551x = 48,738,688,087,699,964,821,504
  5. Step 5: Solve for x
    x = 48,738,688,087,699,964,821,504/138,743,638,551
  6. Step 6: Final answer
    x = 351,285,929,911.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.