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Finding the Third Proportional to 103,634,999,950.50 and 159,223,723,476.75

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Solution

The third proportional to 103,634,999,950.50 and 159,223,723,476.75 is: 244,629,653,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634,999,950.50 : 159,223,723,476.75 = 159,223,723,476.75 : x
  2. Step 2: Convert to fraction form
    103,634,999,950.50/159,223,723,476.75 = 159,223,723,476.75/x
  3. Step 3: Cross multiply
    103,634,999,950.50x = 159,223,723,476.75 × 159,223,723,476.75
  4. Step 4: Simplify right side
    103,634,999,950.50x = 25,352,194,117,800,550,203,392
  5. Step 5: Solve for x
    x = 25,352,194,117,800,550,203,392/103,634,999,950.50
  6. Step 6: Final answer
    x = 244,629,653,398.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.