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Finding the Third Proportional to 46,215 and 97,614

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Solution

The third proportional to 46,215 and 97,614 is: 206,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,215 : 97,614 = 97,614 : x
  2. Step 2: Convert to fraction form
    46,215/97,614 = 97,614/x
  3. Step 3: Cross multiply
    46,215x = 97,614 × 97,614
  4. Step 4: Simplify right side
    46,215x = 9,528,492,996
  5. Step 5: Solve for x
    x = 9,528,492,996/46,215
  6. Step 6: Final answer
    x = 206,177.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.