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Finding the Third Proportional to 76,015,764 and 165,965,242.50

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Solution

The third proportional to 76,015,764 and 165,965,242.50 is: 362,351,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,764 : 165,965,242.50 = 165,965,242.50 : x
  2. Step 2: Convert to fraction form
    76,015,764/165,965,242.50 = 165,965,242.50/x
  3. Step 3: Cross multiply
    76,015,764x = 165,965,242.50 × 165,965,242.50
  4. Step 4: Simplify right side
    76,015,764x = 27,544,461,718,083,808
  5. Step 5: Solve for x
    x = 27,544,461,718,083,808/76,015,764
  6. Step 6: Final answer
    x = 362,351,968.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.