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Finding the Third Proportional to 160,129,653.50 and 349,621,483

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Solution

The third proportional to 160,129,653.50 and 349,621,483 is: 763,351,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129,653.50 : 349,621,483 = 349,621,483 : x
  2. Step 2: Convert to fraction form
    160,129,653.50/349,621,483 = 349,621,483/x
  3. Step 3: Cross multiply
    160,129,653.50x = 349,621,483 × 349,621,483
  4. Step 4: Simplify right side
    160,129,653.50x = 122,235,181,375,119,296
  5. Step 5: Solve for x
    x = 122,235,181,375,119,296/160,129,653.50
  6. Step 6: Final answer
    x = 763,351,313.78

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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.