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Finding the Third Proportional to 46,803 and 101,094

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Solution

The third proportional to 46,803 and 101,094 is: 218,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803 : 101,094 = 101,094 : x
  2. Step 2: Convert to fraction form
    46,803/101,094 = 101,094/x
  3. Step 3: Cross multiply
    46,803x = 101,094 × 101,094
  4. Step 4: Simplify right side
    46,803x = 10,219,996,836
  5. Step 5: Solve for x
    x = 10,219,996,836/46,803
  6. Step 6: Final answer
    x = 218,362.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.