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Finding the Third Proportional to 84,313,189.88 and 188,012,703.56

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Solution

The third proportional to 84,313,189.88 and 188,012,703.56 is: 419,255,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,313,189.88 : 188,012,703.56 = 188,012,703.56 : x
  2. Step 2: Convert to fraction form
    84,313,189.88/188,012,703.56 = 188,012,703.56/x
  3. Step 3: Cross multiply
    84,313,189.88x = 188,012,703.56 × 188,012,703.56
  4. Step 4: Simplify right side
    84,313,189.88x = 35,348,776,700,880,500
  5. Step 5: Solve for x
    x = 35,348,776,700,880,500/84,313,189.88
  6. Step 6: Final answer
    x = 419,255,596.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.