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Finding the Third Proportional to 45,948.38 and 98,935.88

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Solution

The third proportional to 45,948.38 and 98,935.88 is: 213,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,948.38 : 98,935.88 = 98,935.88 : x
  2. Step 2: Convert to fraction form
    45,948.38/98,935.88 = 98,935.88/x
  3. Step 3: Cross multiply
    45,948.38x = 98,935.88 × 98,935.88
  4. Step 4: Simplify right side
    45,948.38x = 9,788,307,362.02
  5. Step 5: Solve for x
    x = 9,788,307,362.02/45,948.38
  6. Step 6: Final answer
    x = 213,028.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.