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Finding the Third Proportional to 97,393,925,989 and 209,445,302,937.12

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Solution

The third proportional to 97,393,925,989 and 209,445,302,937.12 is: 450,411,403,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393,925,989 : 209,445,302,937.12 = 209,445,302,937.12 : x
  2. Step 2: Convert to fraction form
    97,393,925,989/209,445,302,937.12 = 209,445,302,937.12/x
  3. Step 3: Cross multiply
    97,393,925,989x = 209,445,302,937.12 × 209,445,302,937.12
  4. Step 4: Simplify right side
    97,393,925,989x = 43,867,334,922,421,963,587,584
  5. Step 5: Solve for x
    x = 43,867,334,922,421,963,587,584/97,393,925,989
  6. Step 6: Final answer
    x = 450,411,403,760.19

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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.