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Finding the Third Proportional to 45,379,664 and 97,138,080

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Solution

The third proportional to 45,379,664 and 97,138,080 is: 207,930,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,379,664 : 97,138,080 = 97,138,080 : x
  2. Step 2: Convert to fraction form
    45,379,664/97,138,080 = 97,138,080/x
  3. Step 3: Cross multiply
    45,379,664x = 97,138,080 × 97,138,080
  4. Step 4: Simplify right side
    45,379,664x = 9,435,806,586,086,400
  5. Step 5: Solve for x
    x = 9,435,806,586,086,400/45,379,664
  6. Step 6: Final answer
    x = 207,930,287.59

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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.