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Finding the Third Proportional to 45,012.56 and 98,330.25

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Solution

The third proportional to 45,012.56 and 98,330.25 is: 214,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,012.56 : 98,330.25 = 98,330.25 : x
  2. Step 2: Convert to fraction form
    45,012.56/98,330.25 = 98,330.25/x
  3. Step 3: Cross multiply
    45,012.56x = 98,330.25 × 98,330.25
  4. Step 4: Simplify right side
    45,012.56x = 9,668,838,065.06
  5. Step 5: Solve for x
    x = 9,668,838,065.06/45,012.56
  6. Step 6: Final answer
    x = 214,803.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.