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Finding the Third Proportional to 69,098,692 and 151,214,504

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Solution

The third proportional to 69,098,692 and 151,214,504 is: 330,915,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098,692 : 151,214,504 = 151,214,504 : x
  2. Step 2: Convert to fraction form
    69,098,692/151,214,504 = 151,214,504/x
  3. Step 3: Cross multiply
    69,098,692x = 151,214,504 × 151,214,504
  4. Step 4: Simplify right side
    69,098,692x = 22,865,826,219,966,016
  5. Step 5: Solve for x
    x = 22,865,826,219,966,016/69,098,692
  6. Step 6: Final answer
    x = 330,915,471.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.