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Finding the Third Proportional to 188,964,765 and 293,396,098.50

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Solution

The third proportional to 188,964,765 and 293,396,098.50 is: 455,541,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,964,765 : 293,396,098.50 = 293,396,098.50 : x
  2. Step 2: Convert to fraction form
    188,964,765/293,396,098.50 = 293,396,098.50/x
  3. Step 3: Cross multiply
    188,964,765x = 293,396,098.50 × 293,396,098.50
  4. Step 4: Simplify right side
    188,964,765x = 86,081,270,615,021,696
  5. Step 5: Solve for x
    x = 86,081,270,615,021,696/188,964,765
  6. Step 6: Final answer
    x = 455,541,384.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.