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Finding the Third Proportional to 45,348.75 and 98,465.63

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Solution

The third proportional to 45,348.75 and 98,465.63 is: 213,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,348.75 : 98,465.63 = 98,465.63 : x
  2. Step 2: Convert to fraction form
    45,348.75/98,465.63 = 98,465.63/x
  3. Step 3: Cross multiply
    45,348.75x = 98,465.63 × 98,465.63
  4. Step 4: Simplify right side
    45,348.75x = 9,695,479,306.64
  5. Step 5: Solve for x
    x = 9,695,479,306.64/45,348.75
  6. Step 6: Final answer
    x = 213,798.16

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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.