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Finding the Third Proportional to 48,074,719.50 and 97,848,429.75

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Solution

The third proportional to 48,074,719.50 and 97,848,429.75 is: 199,154,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074,719.50 : 97,848,429.75 = 97,848,429.75 : x
  2. Step 2: Convert to fraction form
    48,074,719.50/97,848,429.75 = 97,848,429.75/x
  3. Step 3: Cross multiply
    48,074,719.50x = 97,848,429.75 × 97,848,429.75
  4. Step 4: Simplify right side
    48,074,719.50x = 9,574,315,204,540,686
  5. Step 5: Solve for x
    x = 9,574,315,204,540,686/48,074,719.50
  6. Step 6: Final answer
    x = 199,154,884.40

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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.