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Finding the Third Proportional to 103,981,560 and 145,365,156

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Solution

The third proportional to 103,981,560 and 145,365,156 is: 203,218,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,981,560 : 145,365,156 = 145,365,156 : x
  2. Step 2: Convert to fraction form
    103,981,560/145,365,156 = 145,365,156/x
  3. Step 3: Cross multiply
    103,981,560x = 145,365,156 × 145,365,156
  4. Step 4: Simplify right side
    103,981,560x = 21,131,028,578,904,336
  5. Step 5: Solve for x
    x = 21,131,028,578,904,336/103,981,560
  6. Step 6: Final answer
    x = 203,218,999.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.