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Finding the Third Proportional to 103,817 and 148,456.50

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Solution

The third proportional to 103,817 and 148,456.50 is: 212,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,817 : 148,456.50 = 148,456.50 : x
  2. Step 2: Convert to fraction form
    103,817/148,456.50 = 148,456.50/x
  3. Step 3: Cross multiply
    103,817x = 148,456.50 × 148,456.50
  4. Step 4: Simplify right side
    103,817x = 22,039,332,392.25
  5. Step 5: Solve for x
    x = 22,039,332,392.25/103,817
  6. Step 6: Final answer
    x = 212,290.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.