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Finding the Third Proportional to 140,310,106,918.88 and 288,058,461,354

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Solution

The third proportional to 140,310,106,918.88 and 288,058,461,354 is: 591,387,740,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,310,106,918.88 : 288,058,461,354 = 288,058,461,354 : x
  2. Step 2: Convert to fraction form
    140,310,106,918.88/288,058,461,354 = 288,058,461,354/x
  3. Step 3: Cross multiply
    140,310,106,918.88x = 288,058,461,354 × 288,058,461,354
  4. Step 4: Simplify right side
    140,310,106,918.88x = 82,977,677,157,633,909,325,824
  5. Step 5: Solve for x
    x = 82,977,677,157,633,909,325,824/140,310,106,918.88
  6. Step 6: Final answer
    x = 591,387,740,910.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.