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Finding the Third Proportional to 123,004,824 and 173,021,778

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Solution

The third proportional to 123,004,824 and 173,021,778 is: 243,376,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,004,824 : 173,021,778 = 173,021,778 : x
  2. Step 2: Convert to fraction form
    123,004,824/173,021,778 = 173,021,778/x
  3. Step 3: Cross multiply
    123,004,824x = 173,021,778 × 173,021,778
  4. Step 4: Simplify right side
    123,004,824x = 29,936,535,662,281,284
  5. Step 5: Solve for x
    x = 29,936,535,662,281,284/123,004,824
  6. Step 6: Final answer
    x = 243,376,923.67

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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.