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Finding the Third Proportional to 106,510.13 and 227,980.13

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Solution

The third proportional to 106,510.13 and 227,980.13 is: 487,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,510.13 : 227,980.13 = 227,980.13 : x
  2. Step 2: Convert to fraction form
    106,510.13/227,980.13 = 227,980.13/x
  3. Step 3: Cross multiply
    106,510.13x = 227,980.13 × 227,980.13
  4. Step 4: Simplify right side
    106,510.13x = 51,974,937,395.02
  5. Step 5: Solve for x
    x = 51,974,937,395.02/106,510.13
  6. Step 6: Final answer
    x = 487,981.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.