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Finding the Third Proportional to 102,696,568 and 159,529,528

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Solution

The third proportional to 102,696,568 and 159,529,528 is: 247,814,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,696,568 : 159,529,528 = 159,529,528 : x
  2. Step 2: Convert to fraction form
    102,696,568/159,529,528 = 159,529,528/x
  3. Step 3: Cross multiply
    102,696,568x = 159,529,528 × 159,529,528
  4. Step 4: Simplify right side
    102,696,568x = 25,449,670,303,902,784
  5. Step 5: Solve for x
    x = 25,449,670,303,902,784/102,696,568
  6. Step 6: Final answer
    x = 247,814,223.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.