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Finding the Third Proportional to 75,491,069,697 and 117,214,277,215.50

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Solution

The third proportional to 75,491,069,697 and 117,214,277,215.50 is: 181,997,510,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,491,069,697 : 117,214,277,215.50 = 117,214,277,215.50 : x
  2. Step 2: Convert to fraction form
    75,491,069,697/117,214,277,215.50 = 117,214,277,215.50/x
  3. Step 3: Cross multiply
    75,491,069,697x = 117,214,277,215.50 × 117,214,277,215.50
  4. Step 4: Simplify right side
    75,491,069,697x = 13,739,186,783,152,083,304,448
  5. Step 5: Solve for x
    x = 13,739,186,783,152,083,304,448/75,491,069,697
  6. Step 6: Final answer
    x = 181,997,510,941.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.