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Finding the Third Proportional to 102,663,119,204 and 150,919,339,489

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Solution

The third proportional to 102,663,119,204 and 150,919,339,489 is: 221,858,124,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,663,119,204 : 150,919,339,489 = 150,919,339,489 : x
  2. Step 2: Convert to fraction form
    102,663,119,204/150,919,339,489 = 150,919,339,489/x
  3. Step 3: Cross multiply
    102,663,119,204x = 150,919,339,489 × 150,919,339,489
  4. Step 4: Simplify right side
    102,663,119,204x = 22,776,647,031,796,036,272,128
  5. Step 5: Solve for x
    x = 22,776,647,031,796,036,272,128/102,663,119,204
  6. Step 6: Final answer
    x = 221,858,124,011.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.