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Finding the Third Proportional to 160,129,655 and 349,621,489

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Solution

The third proportional to 160,129,655 and 349,621,489 is: 763,351,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129,655 : 349,621,489 = 349,621,489 : x
  2. Step 2: Convert to fraction form
    160,129,655/349,621,489 = 349,621,489/x
  3. Step 3: Cross multiply
    160,129,655x = 349,621,489 × 349,621,489
  4. Step 4: Simplify right side
    160,129,655x = 122,235,185,570,577,120
  5. Step 5: Solve for x
    x = 122,235,185,570,577,120/160,129,655
  6. Step 6: Final answer
    x = 763,351,332.83

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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.