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Finding the Third Proportional to 70,493,146 and 107,766,313

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Solution

The third proportional to 70,493,146 and 107,766,313 is: 164,747,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493,146 : 107,766,313 = 107,766,313 : x
  2. Step 2: Convert to fraction form
    70,493,146/107,766,313 = 107,766,313/x
  3. Step 3: Cross multiply
    70,493,146x = 107,766,313 × 107,766,313
  4. Step 4: Simplify right side
    70,493,146x = 11,613,578,217,613,968
  5. Step 5: Solve for x
    x = 11,613,578,217,613,968/70,493,146
  6. Step 6: Final answer
    x = 164,747,622.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.