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Finding the Third Proportional to 48,046,954 and 103,652,180

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Solution

The third proportional to 48,046,954 and 103,652,180 is: 223,609,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046,954 : 103,652,180 = 103,652,180 : x
  2. Step 2: Convert to fraction form
    48,046,954/103,652,180 = 103,652,180/x
  3. Step 3: Cross multiply
    48,046,954x = 103,652,180 × 103,652,180
  4. Step 4: Simplify right side
    48,046,954x = 10,743,774,418,752,400
  5. Step 5: Solve for x
    x = 10,743,774,418,752,400/48,046,954
  6. Step 6: Final answer
    x = 223,609,896.66

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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.