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Finding the Third Proportional to 144,058,425 and 309,965,959.50

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Solution

The third proportional to 144,058,425 and 309,965,959.50 is: 666,943,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,058,425 : 309,965,959.50 = 309,965,959.50 : x
  2. Step 2: Convert to fraction form
    144,058,425/309,965,959.50 = 309,965,959.50/x
  3. Step 3: Cross multiply
    144,058,425x = 309,965,959.50 × 309,965,959.50
  4. Step 4: Simplify right side
    144,058,425x = 96,078,896,048,755,648
  5. Step 5: Solve for x
    x = 96,078,896,048,755,648/144,058,425
  6. Step 6: Final answer
    x = 666,943,957.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.