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Finding the Third Proportional to 48,046,962 and 103,652,196

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Solution

The third proportional to 48,046,962 and 103,652,196 is: 223,609,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046,962 : 103,652,196 = 103,652,196 : x
  2. Step 2: Convert to fraction form
    48,046,962/103,652,196 = 103,652,196/x
  3. Step 3: Cross multiply
    48,046,962x = 103,652,196 × 103,652,196
  4. Step 4: Simplify right side
    48,046,962x = 10,743,777,735,622,416
  5. Step 5: Solve for x
    x = 10,743,777,735,622,416/48,046,962
  6. Step 6: Final answer
    x = 223,609,928.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.