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Finding the Third Proportional to 102,303.75 and 222,316.13

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Solution

The third proportional to 102,303.75 and 222,316.13 is: 483,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,303.75 : 222,316.13 = 222,316.13 : x
  2. Step 2: Convert to fraction form
    102,303.75/222,316.13 = 222,316.13/x
  3. Step 3: Cross multiply
    102,303.75x = 222,316.13 × 222,316.13
  4. Step 4: Simplify right side
    102,303.75x = 49,424,459,435.02
  5. Step 5: Solve for x
    x = 49,424,459,435.02/102,303.75
  6. Step 6: Final answer
    x = 483,114.84

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Why These Related Problems?

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