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Finding the Third Proportional to 103,815.98 and 148,455.84

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Solution

The third proportional to 103,815.98 and 148,455.84 is: 212,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,815.98 : 148,455.84 = 148,455.84 : x
  2. Step 2: Convert to fraction form
    103,815.98/148,455.84 = 148,455.84/x
  3. Step 3: Cross multiply
    103,815.98x = 148,455.84 × 148,455.84
  4. Step 4: Simplify right side
    103,815.98x = 22,039,137,543.52
  5. Step 5: Solve for x
    x = 22,039,137,543.52/103,815.98
  6. Step 6: Final answer
    x = 212,290.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.