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Finding the Third Proportional to 46,999.13 and 97,871.63

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Solution

The third proportional to 46,999.13 and 97,871.63 is: 203,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.13 : 97,871.63 = 97,871.63 : x
  2. Step 2: Convert to fraction form
    46,999.13/97,871.63 = 97,871.63/x
  3. Step 3: Cross multiply
    46,999.13x = 97,871.63 × 97,871.63
  4. Step 4: Simplify right side
    46,999.13x = 9,578,854,980.14
  5. Step 5: Solve for x
    x = 9,578,854,980.14/46,999.13
  6. Step 6: Final answer
    x = 203,809.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.