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Finding the Third Proportional to 202,951.13 and 438,422.63

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Solution

The third proportional to 202,951.13 and 438,422.63 is: 947,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.13 : 438,422.63 = 438,422.63 : x
  2. Step 2: Convert to fraction form
    202,951.13/438,422.63 = 438,422.63/x
  3. Step 3: Cross multiply
    202,951.13x = 438,422.63 × 438,422.63
  4. Step 4: Simplify right side
    202,951.13x = 192,214,398,111.89
  5. Step 5: Solve for x
    x = 192,214,398,111.89/202,951.13
  6. Step 6: Final answer
    x = 947,096.98

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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.