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Finding the Third Proportional to 85,133,411,406 and 119,734,447,104

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Solution

The third proportional to 85,133,411,406 and 119,734,447,104 is: 168,398,488,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,133,411,406 : 119,734,447,104 = 119,734,447,104 : x
  2. Step 2: Convert to fraction form
    85,133,411,406/119,734,447,104 = 119,734,447,104/x
  3. Step 3: Cross multiply
    85,133,411,406x = 119,734,447,104 × 119,734,447,104
  4. Step 4: Simplify right side
    85,133,411,406x = 14,336,337,823,300,572,938,240
  5. Step 5: Solve for x
    x = 14,336,337,823,300,572,938,240/85,133,411,406
  6. Step 6: Final answer
    x = 168,398,488,754.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.