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Finding the Third Proportional to 102,925.69 and 200,702.81

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Solution

The third proportional to 102,925.69 and 200,702.81 is: 391,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,925.69 : 200,702.81 = 200,702.81 : x
  2. Step 2: Convert to fraction form
    102,925.69/200,702.81 = 200,702.81/x
  3. Step 3: Cross multiply
    102,925.69x = 200,702.81 × 200,702.81
  4. Step 4: Simplify right side
    102,925.69x = 40,281,618,945.41
  5. Step 5: Solve for x
    x = 40,281,618,945.41/102,925.69
  6. Step 6: Final answer
    x = 391,366.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.