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Finding the Third Proportional to 119,779,732,626 and 186,062,026,896

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Solution

The third proportional to 119,779,732,626 and 186,062,026,896 is: 289,022,834,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,779,732,626 : 186,062,026,896 = 186,062,026,896 : x
  2. Step 2: Convert to fraction form
    119,779,732,626/186,062,026,896 = 186,062,026,896/x
  3. Step 3: Cross multiply
    119,779,732,626x = 186,062,026,896 × 186,062,026,896
  4. Step 4: Simplify right side
    119,779,732,626x = 34,619,077,852,647,825,342,464
  5. Step 5: Solve for x
    x = 34,619,077,852,647,825,342,464/119,779,732,626
  6. Step 6: Final answer
    x = 289,022,834,612.12

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