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Finding the Third Proportional to 46,428 and 99,412

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Solution

The third proportional to 46,428 and 99,412 is: 212,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,428 : 99,412 = 99,412 : x
  2. Step 2: Convert to fraction form
    46,428/99,412 = 99,412/x
  3. Step 3: Cross multiply
    46,428x = 99,412 × 99,412
  4. Step 4: Simplify right side
    46,428x = 9,882,745,744
  5. Step 5: Solve for x
    x = 9,882,745,744/46,428
  6. Step 6: Final answer
    x = 212,861.76

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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.