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Finding the Third Proportional to 160,129,071 and 349,620,558

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Solution

The third proportional to 160,129,071 and 349,620,558 is: 763,350,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129,071 : 349,620,558 = 349,620,558 : x
  2. Step 2: Convert to fraction form
    160,129,071/349,620,558 = 349,620,558/x
  3. Step 3: Cross multiply
    160,129,071x = 349,620,558 × 349,620,558
  4. Step 4: Simplify right side
    160,129,071x = 122,234,534,576,231,360
  5. Step 5: Solve for x
    x = 122,234,534,576,231,360/160,129,071
  6. Step 6: Final answer
    x = 763,350,051.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.