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Finding the Third Proportional to 118,130.63 and 189,496.13

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Solution

The third proportional to 118,130.63 and 189,496.13 is: 303,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,130.63 : 189,496.13 = 189,496.13 : x
  2. Step 2: Convert to fraction form
    118,130.63/189,496.13 = 189,496.13/x
  3. Step 3: Cross multiply
    118,130.63x = 189,496.13 × 189,496.13
  4. Step 4: Simplify right side
    118,130.63x = 35,908,781,390.02
  5. Step 5: Solve for x
    x = 35,908,781,390.02/118,130.63
  6. Step 6: Final answer
    x = 303,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.