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Finding the Third Proportional to 46,136 and 99,670

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Solution

The third proportional to 46,136 and 99,670 is: 215,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,136 : 99,670 = 99,670 : x
  2. Step 2: Convert to fraction form
    46,136/99,670 = 99,670/x
  3. Step 3: Cross multiply
    46,136x = 99,670 × 99,670
  4. Step 4: Simplify right side
    46,136x = 9,934,108,900
  5. Step 5: Solve for x
    x = 9,934,108,900/46,136
  6. Step 6: Final answer
    x = 215,322.28

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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.