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Finding the Third Proportional to 92,509 and 218,264.50

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Solution

The third proportional to 92,509 and 218,264.50 is: 514,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,509 : 218,264.50 = 218,264.50 : x
  2. Step 2: Convert to fraction form
    92,509/218,264.50 = 218,264.50/x
  3. Step 3: Cross multiply
    92,509x = 218,264.50 × 218,264.50
  4. Step 4: Simplify right side
    92,509x = 47,639,391,960.25
  5. Step 5: Solve for x
    x = 47,639,391,960.25/92,509
  6. Step 6: Final answer
    x = 514,970.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.