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Finding the Third Proportional to 73,887,309,853.88 and 161,318,194,849.12

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Solution

The third proportional to 73,887,309,853.88 and 161,318,194,849.12 is: 352,206,083,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,887,309,853.88 : 161,318,194,849.12 = 161,318,194,849.12 : x
  2. Step 2: Convert to fraction form
    73,887,309,853.88/161,318,194,849.12 = 161,318,194,849.12/x
  3. Step 3: Cross multiply
    73,887,309,853.88x = 161,318,194,849.12 × 161,318,194,849.12
  4. Step 4: Simplify right side
    73,887,309,853.88x = 26,023,559,989,378,643,132,416
  5. Step 5: Solve for x
    x = 26,023,559,989,378,643,132,416/73,887,309,853.88
  6. Step 6: Final answer
    x = 352,206,083,031.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.