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Finding the Third Proportional to 97,393,926,002 and 209,445,302,960.50

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Solution

The third proportional to 97,393,926,002 and 209,445,302,960.50 is: 450,411,403,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393,926,002 : 209,445,302,960.50 = 209,445,302,960.50 : x
  2. Step 2: Convert to fraction form
    97,393,926,002/209,445,302,960.50 = 209,445,302,960.50/x
  3. Step 3: Cross multiply
    97,393,926,002x = 209,445,302,960.50 × 209,445,302,960.50
  4. Step 4: Simplify right side
    97,393,926,002x = 43,867,334,932,215,629,873,152
  5. Step 5: Solve for x
    x = 43,867,334,932,215,629,873,152/97,393,926,002
  6. Step 6: Final answer
    x = 450,411,403,800.63

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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.