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Finding the Third Proportional to 77,638,140 and 166,182,393

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Solution

The third proportional to 77,638,140 and 166,182,393 is: 355,709,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638,140 : 166,182,393 = 166,182,393 : x
  2. Step 2: Convert to fraction form
    77,638,140/166,182,393 = 166,182,393/x
  3. Step 3: Cross multiply
    77,638,140x = 166,182,393 × 166,182,393
  4. Step 4: Simplify right side
    77,638,140x = 27,616,587,743,206,448
  5. Step 5: Solve for x
    x = 27,616,587,743,206,448/77,638,140
  6. Step 6: Final answer
    x = 355,709,033.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.