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Finding the Third Proportional to 46,807 and 101,495.75

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Solution

The third proportional to 46,807 and 101,495.75 is: 220,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,807 : 101,495.75 = 101,495.75 : x
  2. Step 2: Convert to fraction form
    46,807/101,495.75 = 101,495.75/x
  3. Step 3: Cross multiply
    46,807x = 101,495.75 × 101,495.75
  4. Step 4: Simplify right side
    46,807x = 10,301,387,268.06
  5. Step 5: Solve for x
    x = 10,301,387,268.06/46,807
  6. Step 6: Final answer
    x = 220,082.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.