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Finding the Third Proportional to 75,811,584 and 108,336,509

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Solution

The third proportional to 75,811,584 and 108,336,509 is: 154,815,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,811,584 : 108,336,509 = 108,336,509 : x
  2. Step 2: Convert to fraction form
    75,811,584/108,336,509 = 108,336,509/x
  3. Step 3: Cross multiply
    75,811,584x = 108,336,509 × 108,336,509
  4. Step 4: Simplify right side
    75,811,584x = 11,736,799,182,307,080
  5. Step 5: Solve for x
    x = 11,736,799,182,307,080/75,811,584
  6. Step 6: Final answer
    x = 154,815,379.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.