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Finding the Third Proportional to 188,830.93 and 386,386.14

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Solution

The third proportional to 188,830.93 and 386,386.14 is: 790,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,830.93 : 386,386.14 = 386,386.14 : x
  2. Step 2: Convert to fraction form
    188,830.93/386,386.14 = 386,386.14/x
  3. Step 3: Cross multiply
    188,830.93x = 386,386.14 × 386,386.14
  4. Step 4: Simplify right side
    188,830.93x = 149,294,246,648.45
  5. Step 5: Solve for x
    x = 149,294,246,648.45/188,830.93
  6. Step 6: Final answer
    x = 790,623.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.