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Finding the Third Proportional to 97,393,926,004 and 209,445,302,965

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Solution

The third proportional to 97,393,926,004 and 209,445,302,965 is: 450,411,403,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393,926,004 : 209,445,302,965 = 209,445,302,965 : x
  2. Step 2: Convert to fraction form
    97,393,926,004/209,445,302,965 = 209,445,302,965/x
  3. Step 3: Cross multiply
    97,393,926,004x = 209,445,302,965 × 209,445,302,965
  4. Step 4: Simplify right side
    97,393,926,004x = 43,867,334,934,100,633,976,832
  5. Step 5: Solve for x
    x = 43,867,334,934,100,633,976,832/97,393,926,004
  6. Step 6: Final answer
    x = 450,411,403,810.74

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Why These Related Problems?

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