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Finding the Third Proportional to 43,008,024.50 and 68,208,218.50

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Solution

The third proportional to 43,008,024.50 and 68,208,218.50 is: 108,174,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,008,024.50 : 68,208,218.50 = 68,208,218.50 : x
  2. Step 2: Convert to fraction form
    43,008,024.50/68,208,218.50 = 68,208,218.50/x
  3. Step 3: Cross multiply
    43,008,024.50x = 68,208,218.50 × 68,208,218.50
  4. Step 4: Simplify right side
    43,008,024.50x = 4,652,361,070,943,742
  5. Step 5: Solve for x
    x = 4,652,361,070,943,742/43,008,024.50
  6. Step 6: Final answer
    x = 108,174,256.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.