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Finding the Third Proportional to 48,074,724 and 97,848,438

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Solution

The third proportional to 48,074,724 and 97,848,438 is: 199,154,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074,724 : 97,848,438 = 97,848,438 : x
  2. Step 2: Convert to fraction form
    48,074,724/97,848,438 = 97,848,438/x
  3. Step 3: Cross multiply
    48,074,724x = 97,848,438 × 97,848,438
  4. Step 4: Simplify right side
    48,074,724x = 9,574,316,819,039,844
  5. Step 5: Solve for x
    x = 9,574,316,819,039,844/48,074,724
  6. Step 6: Final answer
    x = 199,154,899.34

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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.