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Finding the Third Proportional to 48,046,952 and 103,652,176

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Solution

The third proportional to 48,046,952 and 103,652,176 is: 223,609,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046,952 : 103,652,176 = 103,652,176 : x
  2. Step 2: Convert to fraction form
    48,046,952/103,652,176 = 103,652,176/x
  3. Step 3: Cross multiply
    48,046,952x = 103,652,176 × 103,652,176
  4. Step 4: Simplify right side
    48,046,952x = 10,743,773,589,534,976
  5. Step 5: Solve for x
    x = 10,743,773,589,534,976/48,046,952
  6. Step 6: Final answer
    x = 223,609,888.71

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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.