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Finding the Third Proportional to 30,222.18 and 64,904.26

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Solution

The third proportional to 30,222.18 and 64,904.26 is: 139,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.18 : 64,904.26 = 64,904.26 : x
  2. Step 2: Convert to fraction form
    30,222.18/64,904.26 = 64,904.26/x
  3. Step 3: Cross multiply
    30,222.18x = 64,904.26 × 64,904.26
  4. Step 4: Simplify right side
    30,222.18x = 4,212,562,428.66
  5. Step 5: Solve for x
    x = 4,212,562,428.66/30,222.18
  6. Step 6: Final answer
    x = 139,386.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.