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Finding the Third Proportional to 46,038.06 and 101,755.30

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Solution

The third proportional to 46,038.06 and 101,755.30 is: 224,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,038.06 : 101,755.30 = 101,755.30 : x
  2. Step 2: Convert to fraction form
    46,038.06/101,755.30 = 101,755.30/x
  3. Step 3: Cross multiply
    46,038.06x = 101,755.30 × 101,755.30
  4. Step 4: Simplify right side
    46,038.06x = 10,354,141,237.08
  5. Step 5: Solve for x
    x = 10,354,141,237.08/46,038.06
  6. Step 6: Final answer
    x = 224,903.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.