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Finding the Third Proportional to 48,074,713.88 and 97,848,418.50

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Solution

The third proportional to 48,074,713.88 and 97,848,418.50 is: 199,154,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074,713.88 : 97,848,418.50 = 97,848,418.50 : x
  2. Step 2: Convert to fraction form
    48,074,713.88/97,848,418.50 = 97,848,418.50/x
  3. Step 3: Cross multiply
    48,074,713.88x = 97,848,418.50 × 97,848,418.50
  4. Step 4: Simplify right side
    48,074,713.88x = 9,574,313,002,951,142
  5. Step 5: Solve for x
    x = 9,574,313,002,951,142/48,074,713.88
  6. Step 6: Final answer
    x = 199,154,861.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.