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Finding the Third Proportional to 103,417,872 and 153,661,689

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Solution

The third proportional to 103,417,872 and 153,661,689 is: 228,315,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417,872 : 153,661,689 = 153,661,689 : x
  2. Step 2: Convert to fraction form
    103,417,872/153,661,689 = 153,661,689/x
  3. Step 3: Cross multiply
    103,417,872x = 153,661,689 × 153,661,689
  4. Step 4: Simplify right side
    103,417,872x = 23,611,914,666,332,720
  5. Step 5: Solve for x
    x = 23,611,914,666,332,720/103,417,872
  6. Step 6: Final answer
    x = 228,315,611.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.