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Finding the Third Proportional to 81,066,078,662 and 168,841,947,387

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Solution

The third proportional to 81,066,078,662 and 168,841,947,387 is: 351,658,840,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,066,078,662 : 168,841,947,387 = 168,841,947,387 : x
  2. Step 2: Convert to fraction form
    81,066,078,662/168,841,947,387 = 168,841,947,387/x
  3. Step 3: Cross multiply
    81,066,078,662x = 168,841,947,387 × 168,841,947,387
  4. Step 4: Simplify right side
    81,066,078,662x = 28,507,603,197,434,477,412,352
  5. Step 5: Solve for x
    x = 28,507,603,197,434,477,412,352/81,066,078,662
  6. Step 6: Final answer
    x = 351,658,840,145.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.