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Finding the Third Proportional to 218,109.94 and 456,085.13

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Solution

The third proportional to 218,109.94 and 456,085.13 is: 953,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,109.94 : 456,085.13 = 456,085.13 : x
  2. Step 2: Convert to fraction form
    218,109.94/456,085.13 = 456,085.13/x
  3. Step 3: Cross multiply
    218,109.94x = 456,085.13 × 456,085.13
  4. Step 4: Simplify right side
    218,109.94x = 208,013,641,246.27
  5. Step 5: Solve for x
    x = 208,013,641,246.27/218,109.94
  6. Step 6: Final answer
    x = 953,710.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.