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Finding the Third Proportional to 130,166,032 and 285,339,680

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Solution

The third proportional to 130,166,032 and 285,339,680 is: 625,499,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,166,032 : 285,339,680 = 285,339,680 : x
  2. Step 2: Convert to fraction form
    130,166,032/285,339,680 = 285,339,680/x
  3. Step 3: Cross multiply
    130,166,032x = 285,339,680 × 285,339,680
  4. Step 4: Simplify right side
    130,166,032x = 81,418,732,982,502,400
  5. Step 5: Solve for x
    x = 81,418,732,982,502,400/130,166,032
  6. Step 6: Final answer
    x = 625,499,077.84

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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.