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Finding the Third Proportional to 46,823.06 and 101,127.80

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Solution

The third proportional to 46,823.06 and 101,127.80 is: 218,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823.06 : 101,127.80 = 101,127.80 : x
  2. Step 2: Convert to fraction form
    46,823.06/101,127.80 = 101,127.80/x
  3. Step 3: Cross multiply
    46,823.06x = 101,127.80 × 101,127.80
  4. Step 4: Simplify right side
    46,823.06x = 10,226,831,300.79
  5. Step 5: Solve for x
    x = 10,226,831,300.79/46,823.06
  6. Step 6: Final answer
    x = 218,414.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.