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Finding the Third Proportional to 176,196,366 and 386,275,212

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Solution

The third proportional to 176,196,366 and 386,275,212 is: 846,830,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196,366 : 386,275,212 = 386,275,212 : x
  2. Step 2: Convert to fraction form
    176,196,366/386,275,212 = 386,275,212/x
  3. Step 3: Cross multiply
    176,196,366x = 386,275,212 × 386,275,212
  4. Step 4: Simplify right side
    176,196,366x = 149,208,539,405,644,928
  5. Step 5: Solve for x
    x = 149,208,539,405,644,928/176,196,366
  6. Step 6: Final answer
    x = 846,830,969.29

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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.