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Finding the Third Proportional to 48,074,726 and 97,848,442.50

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Solution

The third proportional to 48,074,726 and 97,848,442.50 is: 199,154,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074,726 : 97,848,442.50 = 97,848,442.50 : x
  2. Step 2: Convert to fraction form
    48,074,726/97,848,442.50 = 97,848,442.50/x
  3. Step 3: Cross multiply
    48,074,726x = 97,848,442.50 × 97,848,442.50
  4. Step 4: Simplify right side
    48,074,726x = 9,574,317,699,675,806
  5. Step 5: Solve for x
    x = 9,574,317,699,675,806/48,074,726
  6. Step 6: Final answer
    x = 199,154,909.37

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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.