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Finding the Third Proportional to 91,312 and 188,768

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Solution

The third proportional to 91,312 and 188,768 is: 390,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,312 : 188,768 = 188,768 : x
  2. Step 2: Convert to fraction form
    91,312/188,768 = 188,768/x
  3. Step 3: Cross multiply
    91,312x = 188,768 × 188,768
  4. Step 4: Simplify right side
    91,312x = 35,633,357,824
  5. Step 5: Solve for x
    x = 35,633,357,824/91,312
  6. Step 6: Final answer
    x = 390,237.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.