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Finding the Third Proportional to 46,536 and 99,440

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Solution

The third proportional to 46,536 and 99,440 is: 212,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,536 : 99,440 = 99,440 : x
  2. Step 2: Convert to fraction form
    46,536/99,440 = 99,440/x
  3. Step 3: Cross multiply
    46,536x = 99,440 × 99,440
  4. Step 4: Simplify right side
    46,536x = 9,888,313,600
  5. Step 5: Solve for x
    x = 9,888,313,600/46,536
  6. Step 6: Final answer
    x = 212,487.40

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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.