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Finding the Third Proportional to 107,613,712,618 and 231,197,646,600

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Solution

The third proportional to 107,613,712,618 and 231,197,646,600 is: 496,705,768,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,613,712,618 : 231,197,646,600 = 231,197,646,600 : x
  2. Step 2: Convert to fraction form
    107,613,712,618/231,197,646,600 = 231,197,646,600/x
  3. Step 3: Cross multiply
    107,613,712,618x = 231,197,646,600 × 231,197,646,600
  4. Step 4: Simplify right side
    107,613,712,618x = 53,452,351,793,378,491,367,424
  5. Step 5: Solve for x
    x = 53,452,351,793,378,491,367,424/107,613,712,618
  6. Step 6: Final answer
    x = 496,705,768,187.00

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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.