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Finding the Third Proportional to 73,854,064 and 170,958,784

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Solution

The third proportional to 73,854,064 and 170,958,784 is: 395,738,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854,064 : 170,958,784 = 170,958,784 : x
  2. Step 2: Convert to fraction form
    73,854,064/170,958,784 = 170,958,784/x
  3. Step 3: Cross multiply
    73,854,064x = 170,958,784 × 170,958,784
  4. Step 4: Simplify right side
    73,854,064x = 29,226,905,826,758,656
  5. Step 5: Solve for x
    x = 29,226,905,826,758,656/73,854,064
  6. Step 6: Final answer
    x = 395,738,626.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.