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Finding the Third Proportional to 130,784.63 and 201,097.69

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Solution

The third proportional to 130,784.63 and 201,097.69 is: 309,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,784.63 : 201,097.69 = 201,097.69 : x
  2. Step 2: Convert to fraction form
    130,784.63/201,097.69 = 201,097.69/x
  3. Step 3: Cross multiply
    130,784.63x = 201,097.69 × 201,097.69
  4. Step 4: Simplify right side
    130,784.63x = 40,440,279,917.85
  5. Step 5: Solve for x
    x = 40,440,279,917.85/130,784.63
  6. Step 6: Final answer
    x = 309,212.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.