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Finding the Third Proportional to 98,433 and 145,456.50

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Solution

The third proportional to 98,433 and 145,456.50 is: 214,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433 : 145,456.50 = 145,456.50 : x
  2. Step 2: Convert to fraction form
    98,433/145,456.50 = 145,456.50/x
  3. Step 3: Cross multiply
    98,433x = 145,456.50 × 145,456.50
  4. Step 4: Simplify right side
    98,433x = 21,157,593,392.25
  5. Step 5: Solve for x
    x = 21,157,593,392.25/98,433
  6. Step 6: Final answer
    x = 214,944.11

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.