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Finding the Third Proportional to 97,947,080 and 213,530,152

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Solution

The third proportional to 97,947,080 and 213,530,152 is: 465,507,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,947,080 : 213,530,152 = 213,530,152 : x
  2. Step 2: Convert to fraction form
    97,947,080/213,530,152 = 213,530,152/x
  3. Step 3: Cross multiply
    97,947,080x = 213,530,152 × 213,530,152
  4. Step 4: Simplify right side
    97,947,080x = 45,595,125,813,143,104
  5. Step 5: Solve for x
    x = 45,595,125,813,143,104/97,947,080
  6. Step 6: Final answer
    x = 465,507,760.04

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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.