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Finding the Third Proportional to 69,729,913.13 and 152,015,137.88

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Solution

The third proportional to 69,729,913.13 and 152,015,137.88 is: 331,401,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729,913.13 : 152,015,137.88 = 152,015,137.88 : x
  2. Step 2: Convert to fraction form
    69,729,913.13/152,015,137.88 = 152,015,137.88/x
  3. Step 3: Cross multiply
    69,729,913.13x = 152,015,137.88 × 152,015,137.88
  4. Step 4: Simplify right side
    69,729,913.13x = 23,108,602,143,155,260
  5. Step 5: Solve for x
    x = 23,108,602,143,155,260/69,729,913.13
  6. Step 6: Final answer
    x = 331,401,562.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.