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Finding the Third Proportional to 41,573,129,481 and 97,007,321,110.50

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Solution

The third proportional to 41,573,129,481 and 97,007,321,110.50 is: 226,358,238,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,129,481 : 97,007,321,110.50 = 97,007,321,110.50 : x
  2. Step 2: Convert to fraction form
    41,573,129,481/97,007,321,110.50 = 97,007,321,110.50/x
  3. Step 3: Cross multiply
    41,573,129,481x = 97,007,321,110.50 × 97,007,321,110.50
  4. Step 4: Simplify right side
    41,573,129,481x = 9,410,420,349,035,659,395,072
  5. Step 5: Solve for x
    x = 9,410,420,349,035,659,395,072/41,573,129,481
  6. Step 6: Final answer
    x = 226,358,238,278.32

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.