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Finding the Third Proportional to 123,592,824 and 186,979,920

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Solution

The third proportional to 123,592,824 and 186,979,920 is: 282,876,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,592,824 : 186,979,920 = 186,979,920 : x
  2. Step 2: Convert to fraction form
    123,592,824/186,979,920 = 186,979,920/x
  3. Step 3: Cross multiply
    123,592,824x = 186,979,920 × 186,979,920
  4. Step 4: Simplify right side
    123,592,824x = 34,961,490,483,206,400
  5. Step 5: Solve for x
    x = 34,961,490,483,206,400/123,592,824
  6. Step 6: Final answer
    x = 282,876,378.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.