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Finding the Third Proportional to 46,712 and 101,199.50

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Solution

The third proportional to 46,712 and 101,199.50 is: 219,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712 : 101,199.50 = 101,199.50 : x
  2. Step 2: Convert to fraction form
    46,712/101,199.50 = 101,199.50/x
  3. Step 3: Cross multiply
    46,712x = 101,199.50 × 101,199.50
  4. Step 4: Simplify right side
    46,712x = 10,241,338,800.25
  5. Step 5: Solve for x
    x = 10,241,338,800.25/46,712
  6. Step 6: Final answer
    x = 219,244.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.