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Finding the Third Proportional to 148,223,833.88 and 321,963,867.56

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Solution

The third proportional to 148,223,833.88 and 321,963,867.56 is: 699,352,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223,833.88 : 321,963,867.56 = 321,963,867.56 : x
  2. Step 2: Convert to fraction form
    148,223,833.88/321,963,867.56 = 321,963,867.56/x
  3. Step 3: Cross multiply
    148,223,833.88x = 321,963,867.56 × 321,963,867.56
  4. Step 4: Simplify right side
    148,223,833.88x = 103,660,732,015,803,040
  5. Step 5: Solve for x
    x = 103,660,732,015,803,040/148,223,833.88
  6. Step 6: Final answer
    x = 699,352,656.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.