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Finding the Third Proportional to 70,788,279.66 and 166,867,656.47

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Solution

The third proportional to 70,788,279.66 and 166,867,656.47 is: 393,353,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788,279.66 : 166,867,656.47 = 166,867,656.47 : x
  2. Step 2: Convert to fraction form
    70,788,279.66/166,867,656.47 = 166,867,656.47/x
  3. Step 3: Cross multiply
    70,788,279.66x = 166,867,656.47 × 166,867,656.47
  4. Step 4: Simplify right side
    70,788,279.66x = 27,844,814,775,372,764
  5. Step 5: Solve for x
    x = 27,844,814,775,372,764/70,788,279.66
  6. Step 6: Final answer
    x = 393,353,460.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.