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Finding the Third Proportional to 46,390 and 99,944

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Solution

The third proportional to 46,390 and 99,944 is: 215,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,390 : 99,944 = 99,944 : x
  2. Step 2: Convert to fraction form
    46,390/99,944 = 99,944/x
  3. Step 3: Cross multiply
    46,390x = 99,944 × 99,944
  4. Step 4: Simplify right side
    46,390x = 9,988,803,136
  5. Step 5: Solve for x
    x = 9,988,803,136/46,390
  6. Step 6: Final answer
    x = 215,322.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.