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Finding the Third Proportional to 130,217.63 and 264,054.94

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Solution

The third proportional to 130,217.63 and 264,054.94 is: 535,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,217.63 : 264,054.94 = 264,054.94 : x
  2. Step 2: Convert to fraction form
    130,217.63/264,054.94 = 264,054.94/x
  3. Step 3: Cross multiply
    130,217.63x = 264,054.94 × 264,054.94
  4. Step 4: Simplify right side
    130,217.63x = 69,725,010,018.13
  5. Step 5: Solve for x
    x = 69,725,010,018.13/130,217.63
  6. Step 6: Final answer
    x = 535,449.87

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.