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Finding the Third Proportional to 48,312 and 97,989

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Solution

The third proportional to 48,312 and 97,989 is: 198,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,312 : 97,989 = 97,989 : x
  2. Step 2: Convert to fraction form
    48,312/97,989 = 97,989/x
  3. Step 3: Cross multiply
    48,312x = 97,989 × 97,989
  4. Step 4: Simplify right side
    48,312x = 9,601,844,121
  5. Step 5: Solve for x
    x = 9,601,844,121/48,312
  6. Step 6: Final answer
    x = 198,746.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.