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Finding the Third Proportional to 92,348.51 and 202,212.77

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Solution

The third proportional to 92,348.51 and 202,212.77 is: 442,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,348.51 : 202,212.77 = 202,212.77 : x
  2. Step 2: Convert to fraction form
    92,348.51/202,212.77 = 202,212.77/x
  3. Step 3: Cross multiply
    92,348.51x = 202,212.77 × 202,212.77
  4. Step 4: Simplify right side
    92,348.51x = 40,890,005,741.29
  5. Step 5: Solve for x
    x = 40,890,005,741.29/92,348.51
  6. Step 6: Final answer
    x = 442,779.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.