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Finding the Third Proportional to 106,664,452,076 and 154,111,713,474

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Solution

The third proportional to 106,664,452,076 and 154,111,713,474 is: 222,664,812,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,664,452,076 : 154,111,713,474 = 154,111,713,474 : x
  2. Step 2: Convert to fraction form
    106,664,452,076/154,111,713,474 = 154,111,713,474/x
  3. Step 3: Cross multiply
    106,664,452,076x = 154,111,713,474 × 154,111,713,474
  4. Step 4: Simplify right side
    106,664,452,076x = 23,750,420,229,892,272,553,984
  5. Step 5: Solve for x
    x = 23,750,420,229,892,272,553,984/106,664,452,076
  6. Step 6: Final answer
    x = 222,664,812,574.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.