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Finding the Third Proportional to 99,712 and 215,078

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Solution

The third proportional to 99,712 and 215,078 is: 463,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,712 : 215,078 = 215,078 : x
  2. Step 2: Convert to fraction form
    99,712/215,078 = 215,078/x
  3. Step 3: Cross multiply
    99,712x = 215,078 × 215,078
  4. Step 4: Simplify right side
    99,712x = 46,258,546,084
  5. Step 5: Solve for x
    x = 46,258,546,084/99,712
  6. Step 6: Final answer
    x = 463,921.55

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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.