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Finding the Third Proportional to 212,095.50 and 461,005.50

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Solution

The third proportional to 212,095.50 and 461,005.50 is: 1,002,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,095.50 : 461,005.50 = 461,005.50 : x
  2. Step 2: Convert to fraction form
    212,095.50/461,005.50 = 461,005.50/x
  3. Step 3: Cross multiply
    212,095.50x = 461,005.50 × 461,005.50
  4. Step 4: Simplify right side
    212,095.50x = 212,526,071,030.25
  5. Step 5: Solve for x
    x = 212,526,071,030.25/212,095.50
  6. Step 6: Final answer
    x = 1,002,030.08

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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.