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Finding the Third Proportional to 45,425,125,192 and 99,399,010,310

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Solution

The third proportional to 45,425,125,192 and 99,399,010,310 is: 217,504,370,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,425,125,192 : 99,399,010,310 = 99,399,010,310 : x
  2. Step 2: Convert to fraction form
    45,425,125,192/99,399,010,310 = 99,399,010,310/x
  3. Step 3: Cross multiply
    45,425,125,192x = 99,399,010,310 × 99,399,010,310
  4. Step 4: Simplify right side
    45,425,125,192x = 9,880,163,250,607,486,926,848
  5. Step 5: Solve for x
    x = 9,880,163,250,607,486,926,848/45,425,125,192
  6. Step 6: Final answer
    x = 217,504,370,298.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.