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Finding the Third Proportional to 102,128.63 and 219,975.75

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Solution

The third proportional to 102,128.63 and 219,975.75 is: 473,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,128.63 : 219,975.75 = 219,975.75 : x
  2. Step 2: Convert to fraction form
    102,128.63/219,975.75 = 219,975.75/x
  3. Step 3: Cross multiply
    102,128.63x = 219,975.75 × 219,975.75
  4. Step 4: Simplify right side
    102,128.63x = 48,389,330,588.06
  5. Step 5: Solve for x
    x = 48,389,330,588.06/102,128.63
  6. Step 6: Final answer
    x = 473,807.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.