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Finding the Third Proportional to 73,696,605.75 and 157,745,832

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Solution

The third proportional to 73,696,605.75 and 157,745,832 is: 337,651,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696,605.75 : 157,745,832 = 157,745,832 : x
  2. Step 2: Convert to fraction form
    73,696,605.75/157,745,832 = 157,745,832/x
  3. Step 3: Cross multiply
    73,696,605.75x = 157,745,832 × 157,745,832
  4. Step 4: Simplify right side
    73,696,605.75x = 24,883,747,513,372,224
  5. Step 5: Solve for x
    x = 24,883,747,513,372,224/73,696,605.75
  6. Step 6: Final answer
    x = 337,651,201.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.