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Finding the Third Proportional to 98,658 and 139,603.50

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Solution

The third proportional to 98,658 and 139,603.50 is: 197,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,658 : 139,603.50 = 139,603.50 : x
  2. Step 2: Convert to fraction form
    98,658/139,603.50 = 139,603.50/x
  3. Step 3: Cross multiply
    98,658x = 139,603.50 × 139,603.50
  4. Step 4: Simplify right side
    98,658x = 19,489,137,212.25
  5. Step 5: Solve for x
    x = 19,489,137,212.25/98,658
  6. Step 6: Final answer
    x = 197,542.39

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.