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Finding the Third Proportional to 86,813 and 176,038.50

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Solution

The third proportional to 86,813 and 176,038.50 is: 356,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,813 : 176,038.50 = 176,038.50 : x
  2. Step 2: Convert to fraction form
    86,813/176,038.50 = 176,038.50/x
  3. Step 3: Cross multiply
    86,813x = 176,038.50 × 176,038.50
  4. Step 4: Simplify right side
    86,813x = 30,989,553,482.25
  5. Step 5: Solve for x
    x = 30,989,553,482.25/86,813
  6. Step 6: Final answer
    x = 356,969.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.