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Finding the Third Proportional to 130,627.69 and 201,887.44

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Solution

The third proportional to 130,627.69 and 201,887.44 is: 312,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,627.69 : 201,887.44 = 201,887.44 : x
  2. Step 2: Convert to fraction form
    130,627.69/201,887.44 = 201,887.44/x
  3. Step 3: Cross multiply
    130,627.69x = 201,887.44 × 201,887.44
  4. Step 4: Simplify right side
    130,627.69x = 40,758,537,420.32
  5. Step 5: Solve for x
    x = 40,758,537,420.32/130,627.69
  6. Step 6: Final answer
    x = 312,020.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.