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Finding the Third Proportional to 199,243.13 and 429,971.63

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Solution

The third proportional to 199,243.13 and 429,971.63 is: 927,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,243.13 : 429,971.63 = 429,971.63 : x
  2. Step 2: Convert to fraction form
    199,243.13/429,971.63 = 429,971.63/x
  3. Step 3: Cross multiply
    199,243.13x = 429,971.63 × 429,971.63
  4. Step 4: Simplify right side
    199,243.13x = 184,875,598,305.14
  5. Step 5: Solve for x
    x = 184,875,598,305.14/199,243.13
  6. Step 6: Final answer
    x = 927,889.47

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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.