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Finding the Third Proportional to 48,046,957 and 103,652,186

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Solution

The third proportional to 48,046,957 and 103,652,186 is: 223,609,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046,957 : 103,652,186 = 103,652,186 : x
  2. Step 2: Convert to fraction form
    48,046,957/103,652,186 = 103,652,186/x
  3. Step 3: Cross multiply
    48,046,957x = 103,652,186 × 103,652,186
  4. Step 4: Simplify right side
    48,046,957x = 10,743,775,662,578,596
  5. Step 5: Solve for x
    x = 10,743,775,662,578,596/48,046,957
  6. Step 6: Final answer
    x = 223,609,908.59

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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.