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Finding the Third Proportional to 65,393,929 and 140,176,838

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Solution

The third proportional to 65,393,929 and 140,176,838 is: 300,479,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393,929 : 140,176,838 = 140,176,838 : x
  2. Step 2: Convert to fraction form
    65,393,929/140,176,838 = 140,176,838/x
  3. Step 3: Cross multiply
    65,393,929x = 140,176,838 × 140,176,838
  4. Step 4: Simplify right side
    65,393,929x = 19,649,545,911,678,244
  5. Step 5: Solve for x
    x = 19,649,545,911,678,244/65,393,929
  6. Step 6: Final answer
    x = 300,479,665.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.