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Finding the Third Proportional to 39,319,914 and 86,198,095.50

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Solution

The third proportional to 39,319,914 and 86,198,095.50 is: 188,965,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,319,914 : 86,198,095.50 = 86,198,095.50 : x
  2. Step 2: Convert to fraction form
    39,319,914/86,198,095.50 = 86,198,095.50/x
  3. Step 3: Cross multiply
    39,319,914x = 86,198,095.50 × 86,198,095.50
  4. Step 4: Simplify right side
    39,319,914x = 7,430,111,667,827,120
  5. Step 5: Solve for x
    x = 7,430,111,667,827,120/39,319,914
  6. Step 6: Final answer
    x = 188,965,613.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.