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Finding the Third Proportional to 46,830 and 100,360.50

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Solution

The third proportional to 46,830 and 100,360.50 is: 215,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,830 : 100,360.50 = 100,360.50 : x
  2. Step 2: Convert to fraction form
    46,830/100,360.50 = 100,360.50/x
  3. Step 3: Cross multiply
    46,830x = 100,360.50 × 100,360.50
  4. Step 4: Simplify right side
    46,830x = 10,072,229,960.25
  5. Step 5: Solve for x
    x = 10,072,229,960.25/46,830
  6. Step 6: Final answer
    x = 215,080.72

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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.