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Finding the Third Proportional to 101,058 and 219,810

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Solution

The third proportional to 101,058 and 219,810 is: 478,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,058 : 219,810 = 219,810 : x
  2. Step 2: Convert to fraction form
    101,058/219,810 = 219,810/x
  3. Step 3: Cross multiply
    101,058x = 219,810 × 219,810
  4. Step 4: Simplify right side
    101,058x = 48,316,436,100
  5. Step 5: Solve for x
    x = 48,316,436,100/101,058
  6. Step 6: Final answer
    x = 478,106.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.