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Finding the Third Proportional to 98,778 and 214,332

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Solution

The third proportional to 98,778 and 214,332 is: 465,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,778 : 214,332 = 214,332 : x
  2. Step 2: Convert to fraction form
    98,778/214,332 = 214,332/x
  3. Step 3: Cross multiply
    98,778x = 214,332 × 214,332
  4. Step 4: Simplify right side
    98,778x = 45,938,206,224
  5. Step 5: Solve for x
    x = 45,938,206,224/98,778
  6. Step 6: Final answer
    x = 465,065.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.