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Finding the Third Proportional to 102,347,163 and 146,357,649

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Solution

The third proportional to 102,347,163 and 146,357,649 is: 209,293,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347,163 : 146,357,649 = 146,357,649 : x
  2. Step 2: Convert to fraction form
    102,347,163/146,357,649 = 146,357,649/x
  3. Step 3: Cross multiply
    102,347,163x = 146,357,649 × 146,357,649
  4. Step 4: Simplify right side
    102,347,163x = 21,420,561,420,807,200
  5. Step 5: Solve for x
    x = 21,420,561,420,807,200/102,347,163
  6. Step 6: Final answer
    x = 209,293,162.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.