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Finding the Third Proportional to 46,929.38 and 97,741.69

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Solution

The third proportional to 46,929.38 and 97,741.69 is: 203,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,929.38 : 97,741.69 = 97,741.69 : x
  2. Step 2: Convert to fraction form
    46,929.38/97,741.69 = 97,741.69/x
  3. Step 3: Cross multiply
    46,929.38x = 97,741.69 × 97,741.69
  4. Step 4: Simplify right side
    46,929.38x = 9,553,437,475.35
  5. Step 5: Solve for x
    x = 9,553,437,475.35/46,929.38
  6. Step 6: Final answer
    x = 203,570.52

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