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Finding the Third Proportional to 119,779,732,610 and 186,062,026,868

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Solution

The third proportional to 119,779,732,610 and 186,062,026,868 is: 289,022,834,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,779,732,610 : 186,062,026,868 = 186,062,026,868 : x
  2. Step 2: Convert to fraction form
    119,779,732,610/186,062,026,868 = 186,062,026,868/x
  3. Step 3: Cross multiply
    119,779,732,610x = 186,062,026,868 × 186,062,026,868
  4. Step 4: Simplify right side
    119,779,732,610x = 34,619,077,842,228,352,122,880
  5. Step 5: Solve for x
    x = 34,619,077,842,228,352,122,880/119,779,732,610
  6. Step 6: Final answer
    x = 289,022,834,563.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.