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Finding the Third Proportional to 90,334,558,458 and 136,665,565,310.25

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Solution

The third proportional to 90,334,558,458 and 136,665,565,310.25 is: 206,758,931,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,334,558,458 : 136,665,565,310.25 = 136,665,565,310.25 : x
  2. Step 2: Convert to fraction form
    90,334,558,458/136,665,565,310.25 = 136,665,565,310.25/x
  3. Step 3: Cross multiply
    90,334,558,458x = 136,665,565,310.25 × 136,665,565,310.25
  4. Step 4: Simplify right side
    90,334,558,458x = 18,677,476,741,570,208,202,752
  5. Step 5: Solve for x
    x = 18,677,476,741,570,208,202,752/90,334,558,458
  6. Step 6: Final answer
    x = 206,758,931,026.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.