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Finding the Third Proportional to 88,050.38 and 190,458

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Solution

The third proportional to 88,050.38 and 190,458 is: 411,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,050.38 : 190,458 = 190,458 : x
  2. Step 2: Convert to fraction form
    88,050.38/190,458 = 190,458/x
  3. Step 3: Cross multiply
    88,050.38x = 190,458 × 190,458
  4. Step 4: Simplify right side
    88,050.38x = 36,274,249,764
  5. Step 5: Solve for x
    x = 36,274,249,764/88,050.38
  6. Step 6: Final answer
    x = 411,971.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.