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Finding the Third Proportional to 75,689,083 and 165,707,381

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Solution

The third proportional to 75,689,083 and 165,707,381 is: 362,785,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689,083 : 165,707,381 = 165,707,381 : x
  2. Step 2: Convert to fraction form
    75,689,083/165,707,381 = 165,707,381/x
  3. Step 3: Cross multiply
    75,689,083x = 165,707,381 × 165,707,381
  4. Step 4: Simplify right side
    75,689,083x = 27,458,936,117,879,160
  5. Step 5: Solve for x
    x = 27,458,936,117,879,160/75,689,083
  6. Step 6: Final answer
    x = 362,785,953.13

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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.