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Finding the Third Proportional to 137,191,212 and 302,017,356

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Solution

The third proportional to 137,191,212 and 302,017,356 is: 664,871,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,191,212 : 302,017,356 = 302,017,356 : x
  2. Step 2: Convert to fraction form
    137,191,212/302,017,356 = 302,017,356/x
  3. Step 3: Cross multiply
    137,191,212x = 302,017,356 × 302,017,356
  4. Step 4: Simplify right side
    137,191,212x = 91,214,483,325,230,736
  5. Step 5: Solve for x
    x = 91,214,483,325,230,736/137,191,212
  6. Step 6: Final answer
    x = 664,871,182.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.