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Finding the Third Proportional to 106,032,474.77 and 164,761,702.91

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Solution

The third proportional to 106,032,474.77 and 164,761,702.91 is: 256,019,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,032,474.77 : 164,761,702.91 = 164,761,702.91 : x
  2. Step 2: Convert to fraction form
    106,032,474.77/164,761,702.91 = 164,761,702.91/x
  3. Step 3: Cross multiply
    106,032,474.77x = 164,761,702.91 × 164,761,702.91
  4. Step 4: Simplify right side
    106,032,474.77x = 27,146,418,745,855,828
  5. Step 5: Solve for x
    x = 27,146,418,745,855,828/106,032,474.77
  6. Step 6: Final answer
    x = 256,019,854.33

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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.