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Finding the Third Proportional to 76,045,216 and 164,211,584

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Solution

The third proportional to 76,045,216 and 164,211,584 is: 354,597,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,045,216 : 164,211,584 = 164,211,584 : x
  2. Step 2: Convert to fraction form
    76,045,216/164,211,584 = 164,211,584/x
  3. Step 3: Cross multiply
    76,045,216x = 164,211,584 × 164,211,584
  4. Step 4: Simplify right side
    76,045,216x = 26,965,444,319,789,056
  5. Step 5: Solve for x
    x = 26,965,444,319,789,056/76,045,216
  6. Step 6: Final answer
    x = 354,597,511.04

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