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Finding the Third Proportional to 100,914.19 and 212,284.13

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Solution

The third proportional to 100,914.19 and 212,284.13 is: 446,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914.19 : 212,284.13 = 212,284.13 : x
  2. Step 2: Convert to fraction form
    100,914.19/212,284.13 = 212,284.13/x
  3. Step 3: Cross multiply
    100,914.19x = 212,284.13 × 212,284.13
  4. Step 4: Simplify right side
    100,914.19x = 45,064,549,727.02
  5. Step 5: Solve for x
    x = 45,064,549,727.02/100,914.19
  6. Step 6: Final answer
    x = 446,563.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.