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Finding the Third Proportional to 186,796.28 and 403,117.07

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Solution

The third proportional to 186,796.28 and 403,117.07 is: 869,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,796.28 : 403,117.07 = 403,117.07 : x
  2. Step 2: Convert to fraction form
    186,796.28/403,117.07 = 403,117.07/x
  3. Step 3: Cross multiply
    186,796.28x = 403,117.07 × 403,117.07
  4. Step 4: Simplify right side
    186,796.28x = 162,503,369,227.97
  5. Step 5: Solve for x
    x = 162,503,369,227.97/186,796.28
  6. Step 6: Final answer
    x = 869,949.69

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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.