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Finding the Third Proportional to 97,393,926,003 and 209,445,302,962.50

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Solution

The third proportional to 97,393,926,003 and 209,445,302,962.50 is: 450,411,403,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393,926,003 : 209,445,302,962.50 = 209,445,302,962.50 : x
  2. Step 2: Convert to fraction form
    97,393,926,003/209,445,302,962.50 = 209,445,302,962.50/x
  3. Step 3: Cross multiply
    97,393,926,003x = 209,445,302,962.50 × 209,445,302,962.50
  4. Step 4: Simplify right side
    97,393,926,003x = 43,867,334,933,053,408,542,720
  5. Step 5: Solve for x
    x = 43,867,334,933,053,408,542,720/97,393,926,003
  6. Step 6: Final answer
    x = 450,411,403,804.61

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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.