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Finding the Third Proportional to 46,360 and 99,283.50

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Solution

The third proportional to 46,360 and 99,283.50 is: 212,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,360 : 99,283.50 = 99,283.50 : x
  2. Step 2: Convert to fraction form
    46,360/99,283.50 = 99,283.50/x
  3. Step 3: Cross multiply
    46,360x = 99,283.50 × 99,283.50
  4. Step 4: Simplify right side
    46,360x = 9,857,213,372.25
  5. Step 5: Solve for x
    x = 9,857,213,372.25/46,360
  6. Step 6: Final answer
    x = 212,623.24

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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.