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Finding the Third Proportional to 46,235.81 and 99,842.63

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Solution

The third proportional to 46,235.81 and 99,842.63 is: 215,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,235.81 : 99,842.63 = 99,842.63 : x
  2. Step 2: Convert to fraction form
    46,235.81/99,842.63 = 99,842.63/x
  3. Step 3: Cross multiply
    46,235.81x = 99,842.63 × 99,842.63
  4. Step 4: Simplify right side
    46,235.81x = 9,968,549,766.89
  5. Step 5: Solve for x
    x = 9,968,549,766.89/46,235.81
  6. Step 6: Final answer
    x = 215,602.35

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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.