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Finding the Third Proportional to 193,440,159 and 408,713,598

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Solution

The third proportional to 193,440,159 and 408,713,598 is: 863,558,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,440,159 : 408,713,598 = 408,713,598 : x
  2. Step 2: Convert to fraction form
    193,440,159/408,713,598 = 408,713,598/x
  3. Step 3: Cross multiply
    193,440,159x = 408,713,598 × 408,713,598
  4. Step 4: Simplify right side
    193,440,159x = 167,046,805,190,105,600
  5. Step 5: Solve for x
    x = 167,046,805,190,105,600/193,440,159
  6. Step 6: Final answer
    x = 863,558,043.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.