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Finding the Third Proportional to 163,864,399.50 and 351,101,794.50

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Solution

The third proportional to 163,864,399.50 and 351,101,794.50 is: 752,283,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,864,399.50 : 351,101,794.50 = 351,101,794.50 : x
  2. Step 2: Convert to fraction form
    163,864,399.50/351,101,794.50 = 351,101,794.50/x
  3. Step 3: Cross multiply
    163,864,399.50x = 351,101,794.50 × 351,101,794.50
  4. Step 4: Simplify right side
    163,864,399.50x = 123,272,470,101,120,224
  5. Step 5: Solve for x
    x = 123,272,470,101,120,224/163,864,399.50
  6. Step 6: Final answer
    x = 752,283,415.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.