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Finding the Third Proportional to 130,610.81 and 266,756.63

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Solution

The third proportional to 130,610.81 and 266,756.63 is: 544,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,610.81 : 266,756.63 = 266,756.63 : x
  2. Step 2: Convert to fraction form
    130,610.81/266,756.63 = 266,756.63/x
  3. Step 3: Cross multiply
    130,610.81x = 266,756.63 × 266,756.63
  4. Step 4: Simplify right side
    130,610.81x = 71,159,096,981.39
  5. Step 5: Solve for x
    x = 71,159,096,981.39/130,610.81
  6. Step 6: Final answer
    x = 544,817.81

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.