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Finding the Third Proportional to 95,452,564,334.50 and 143,577,360,913

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Solution

The third proportional to 95,452,564,334.50 and 143,577,360,913 is: 215,965,476,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,452,564,334.50 : 143,577,360,913 = 143,577,360,913 : x
  2. Step 2: Convert to fraction form
    95,452,564,334.50/143,577,360,913 = 143,577,360,913/x
  3. Step 3: Cross multiply
    95,452,564,334.50x = 143,577,360,913 × 143,577,360,913
  4. Step 4: Simplify right side
    95,452,564,334.50x = 20,614,458,566,741,860,548,608
  5. Step 5: Solve for x
    x = 20,614,458,566,741,860,548,608/95,452,564,334.50
  6. Step 6: Final answer
    x = 215,965,476,783.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.