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Finding the Third Proportional to 76,464,904.50 and 165,113,775

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Solution

The third proportional to 76,464,904.50 and 165,113,775 is: 356,536,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464,904.50 : 165,113,775 = 165,113,775 : x
  2. Step 2: Convert to fraction form
    76,464,904.50/165,113,775 = 165,113,775/x
  3. Step 3: Cross multiply
    76,464,904.50x = 165,113,775 × 165,113,775
  4. Step 4: Simplify right side
    76,464,904.50x = 27,262,558,694,750,624
  5. Step 5: Solve for x
    x = 27,262,558,694,750,624/76,464,904.50
  6. Step 6: Final answer
    x = 356,536,882.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.