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Finding the Third Proportional to 103,417,866 and 153,661,680

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Solution

The third proportional to 103,417,866 and 153,661,680 is: 228,315,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417,866 : 153,661,680 = 153,661,680 : x
  2. Step 2: Convert to fraction form
    103,417,866/153,661,680 = 153,661,680/x
  3. Step 3: Cross multiply
    103,417,866x = 153,661,680 × 153,661,680
  4. Step 4: Simplify right side
    103,417,866x = 23,611,911,900,422,400
  5. Step 5: Solve for x
    x = 23,611,911,900,422,400/103,417,866
  6. Step 6: Final answer
    x = 228,315,597.81

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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.