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Finding the Third Proportional to 92,841 and 216,925.50

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Solution

The third proportional to 92,841 and 216,925.50 is: 506,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,841 : 216,925.50 = 216,925.50 : x
  2. Step 2: Convert to fraction form
    92,841/216,925.50 = 216,925.50/x
  3. Step 3: Cross multiply
    92,841x = 216,925.50 × 216,925.50
  4. Step 4: Simplify right side
    92,841x = 47,056,672,550.25
  5. Step 5: Solve for x
    x = 47,056,672,550.25/92,841
  6. Step 6: Final answer
    x = 506,852.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.