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Finding the Third Proportional to 123,592,898 and 186,980,051

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Solution

The third proportional to 123,592,898 and 186,980,051 is: 282,876,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,592,898 : 186,980,051 = 186,980,051 : x
  2. Step 2: Convert to fraction form
    123,592,898/186,980,051 = 186,980,051/x
  3. Step 3: Cross multiply
    123,592,898x = 186,980,051 × 186,980,051
  4. Step 4: Simplify right side
    123,592,898x = 34,961,539,471,962,600
  5. Step 5: Solve for x
    x = 34,961,539,471,962,600/123,592,898
  6. Step 6: Final answer
    x = 282,876,605.68

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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.