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Finding the Third Proportional to 69,281,346.52 and 96,859,399.43

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Solution

The third proportional to 69,281,346.52 and 96,859,399.43 is: 135,415,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281,346.52 : 96,859,399.43 = 96,859,399.43 : x
  2. Step 2: Convert to fraction form
    69,281,346.52/96,859,399.43 = 96,859,399.43/x
  3. Step 3: Cross multiply
    69,281,346.52x = 96,859,399.43 × 96,859,399.43
  4. Step 4: Simplify right side
    69,281,346.52x = 9,381,743,257,880,618
  5. Step 5: Solve for x
    x = 9,381,743,257,880,618/69,281,346.52
  6. Step 6: Final answer
    x = 135,415,140.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.