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Finding the Third Proportional to 159,727,929.75 and 245,361,737.25

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Solution

The third proportional to 159,727,929.75 and 245,361,737.25 is: 376,905,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,727,929.75 : 245,361,737.25 = 245,361,737.25 : x
  2. Step 2: Convert to fraction form
    159,727,929.75/245,361,737.25 = 245,361,737.25/x
  3. Step 3: Cross multiply
    159,727,929.75x = 245,361,737.25 × 245,361,737.25
  4. Step 4: Simplify right side
    159,727,929.75x = 60,202,382,106,338,040
  5. Step 5: Solve for x
    x = 60,202,382,106,338,040/159,727,929.75
  6. Step 6: Final answer
    x = 376,905,793.50

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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.