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Finding the Third Proportional to 39,319,776 and 86,197,824

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Solution

The third proportional to 39,319,776 and 86,197,824 is: 188,965,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,319,776 : 86,197,824 = 86,197,824 : x
  2. Step 2: Convert to fraction form
    39,319,776/86,197,824 = 86,197,824/x
  3. Step 3: Cross multiply
    39,319,776x = 86,197,824 × 86,197,824
  4. Step 4: Simplify right side
    39,319,776x = 7,430,064,862,334,976
  5. Step 5: Solve for x
    x = 7,430,064,862,334,976/39,319,776
  6. Step 6: Final answer
    x = 188,965,086.23

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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.