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Finding the Third Proportional to 75,689,088 and 165,707,384

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Solution

The third proportional to 75,689,088 and 165,707,384 is: 362,785,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689,088 : 165,707,384 = 165,707,384 : x
  2. Step 2: Convert to fraction form
    75,689,088/165,707,384 = 165,707,384/x
  3. Step 3: Cross multiply
    75,689,088x = 165,707,384 × 165,707,384
  4. Step 4: Simplify right side
    75,689,088x = 27,458,937,112,123,456
  5. Step 5: Solve for x
    x = 27,458,937,112,123,456/75,689,088
  6. Step 6: Final answer
    x = 362,785,942.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.