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Finding the Third Proportional to 103,254 and 212,066.25

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Solution

The third proportional to 103,254 and 212,066.25 is: 435,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,254 : 212,066.25 = 212,066.25 : x
  2. Step 2: Convert to fraction form
    103,254/212,066.25 = 212,066.25/x
  3. Step 3: Cross multiply
    103,254x = 212,066.25 × 212,066.25
  4. Step 4: Simplify right side
    103,254x = 44,972,094,389.06
  5. Step 5: Solve for x
    x = 44,972,094,389.06/103,254
  6. Step 6: Final answer
    x = 435,548.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.