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Finding the Third Proportional to 130,166,038 and 285,339,692

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Solution

The third proportional to 130,166,038 and 285,339,692 is: 625,499,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,166,038 : 285,339,692 = 285,339,692 : x
  2. Step 2: Convert to fraction form
    130,166,038/285,339,692 = 285,339,692/x
  3. Step 3: Cross multiply
    130,166,038x = 285,339,692 × 285,339,692
  4. Step 4: Simplify right side
    130,166,038x = 81,418,739,830,654,864
  5. Step 5: Solve for x
    x = 81,418,739,830,654,864/130,166,038
  6. Step 6: Final answer
    x = 625,499,101.62

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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.