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Finding the Third Proportional to 86,148 and 186,133.50

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Solution

The third proportional to 86,148 and 186,133.50 is: 402,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,148 : 186,133.50 = 186,133.50 : x
  2. Step 2: Convert to fraction form
    86,148/186,133.50 = 186,133.50/x
  3. Step 3: Cross multiply
    86,148x = 186,133.50 × 186,133.50
  4. Step 4: Simplify right side
    86,148x = 34,645,679,822.25
  5. Step 5: Solve for x
    x = 34,645,679,822.25/86,148
  6. Step 6: Final answer
    x = 402,164.64

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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.