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Finding the Third Proportional to 45,283 and 98,345.50

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Solution

The third proportional to 45,283 and 98,345.50 is: 213,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,283 : 98,345.50 = 98,345.50 : x
  2. Step 2: Convert to fraction form
    45,283/98,345.50 = 98,345.50/x
  3. Step 3: Cross multiply
    45,283x = 98,345.50 × 98,345.50
  4. Step 4: Simplify right side
    45,283x = 9,671,837,370.25
  5. Step 5: Solve for x
    x = 9,671,837,370.25/45,283
  6. Step 6: Final answer
    x = 213,586.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.