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Finding the Third Proportional to 99,702 and 215,058

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Solution

The third proportional to 99,702 and 215,058 is: 463,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,702 : 215,058 = 215,058 : x
  2. Step 2: Convert to fraction form
    99,702/215,058 = 215,058/x
  3. Step 3: Cross multiply
    99,702x = 215,058 × 215,058
  4. Step 4: Simplify right side
    99,702x = 46,249,943,364
  5. Step 5: Solve for x
    x = 46,249,943,364/99,702
  6. Step 6: Final answer
    x = 463,881.80

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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.