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Finding the Third Proportional to 123,592,777 and 186,979,841

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Solution

The third proportional to 123,592,777 and 186,979,841 is: 282,876,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,592,777 : 186,979,841 = 186,979,841 : x
  2. Step 2: Convert to fraction form
    123,592,777/186,979,841 = 186,979,841/x
  3. Step 3: Cross multiply
    123,592,777x = 186,979,841 × 186,979,841
  4. Step 4: Simplify right side
    123,592,777x = 34,961,460,940,385,280
  5. Step 5: Solve for x
    x = 34,961,460,940,385,280/123,592,777
  6. Step 6: Final answer
    x = 282,876,247.21

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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.