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Finding the Third Proportional to 103,148 and 219,784

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Solution

The third proportional to 103,148 and 219,784 is: 468,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,148 : 219,784 = 219,784 : x
  2. Step 2: Convert to fraction form
    103,148/219,784 = 219,784/x
  3. Step 3: Cross multiply
    103,148x = 219,784 × 219,784
  4. Step 4: Simplify right side
    103,148x = 48,305,006,656
  5. Step 5: Solve for x
    x = 48,305,006,656/103,148
  6. Step 6: Final answer
    x = 468,307.74

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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.