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Finding the Third Proportional to 199,099.13 and 429,895.13

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Solution

The third proportional to 199,099.13 and 429,895.13 is: 928,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,099.13 : 429,895.13 = 429,895.13 : x
  2. Step 2: Convert to fraction form
    199,099.13/429,895.13 = 429,895.13/x
  3. Step 3: Cross multiply
    199,099.13x = 429,895.13 × 429,895.13
  4. Step 4: Simplify right side
    199,099.13x = 184,809,818,498.77
  5. Step 5: Solve for x
    x = 184,809,818,498.77/199,099.13
  6. Step 6: Final answer
    x = 928,230.19

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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.