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Finding the Third Proportional to 99,444 and 139,038

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Solution

The third proportional to 99,444 and 139,038 is: 194,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,444 : 139,038 = 139,038 : x
  2. Step 2: Convert to fraction form
    99,444/139,038 = 139,038/x
  3. Step 3: Cross multiply
    99,444x = 139,038 × 139,038
  4. Step 4: Simplify right side
    99,444x = 19,331,565,444
  5. Step 5: Solve for x
    x = 19,331,565,444/99,444
  6. Step 6: Final answer
    x = 194,396.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.