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Finding the Third Proportional to 102,916.50 and 219,657

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Solution

The third proportional to 102,916.50 and 219,657 is: 468,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,916.50 : 219,657 = 219,657 : x
  2. Step 2: Convert to fraction form
    102,916.50/219,657 = 219,657/x
  3. Step 3: Cross multiply
    102,916.50x = 219,657 × 219,657
  4. Step 4: Simplify right side
    102,916.50x = 48,249,197,649
  5. Step 5: Solve for x
    x = 48,249,197,649/102,916.50
  6. Step 6: Final answer
    x = 468,818.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.