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Finding the Third Proportional to 141,190,301,460 and 302,523,253,184

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Solution

The third proportional to 141,190,301,460 and 302,523,253,184 is: 648,205,420,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,190,301,460 : 302,523,253,184 = 302,523,253,184 : x
  2. Step 2: Convert to fraction form
    141,190,301,460/302,523,253,184 = 302,523,253,184/x
  3. Step 3: Cross multiply
    141,190,301,460x = 302,523,253,184 × 302,523,253,184
  4. Step 4: Simplify right side
    141,190,301,460x = 91,520,318,717,030,570,131,456
  5. Step 5: Solve for x
    x = 91,520,318,717,030,570,131,456/141,190,301,460
  6. Step 6: Final answer
    x = 648,205,420,419.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.