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Finding the Third Proportional to 69,098,688 and 151,214,496

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Solution

The third proportional to 69,098,688 and 151,214,496 is: 330,915,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098,688 : 151,214,496 = 151,214,496 : x
  2. Step 2: Convert to fraction form
    69,098,688/151,214,496 = 151,214,496/x
  3. Step 3: Cross multiply
    69,098,688x = 151,214,496 × 151,214,496
  4. Step 4: Simplify right side
    69,098,688x = 22,865,823,800,534,016
  5. Step 5: Solve for x
    x = 22,865,823,800,534,016/69,098,688
  6. Step 6: Final answer
    x = 330,915,455.31

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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.