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Finding the Third Proportional to 130,166,034 and 285,339,684

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Solution

The third proportional to 130,166,034 and 285,339,684 is: 625,499,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,166,034 : 285,339,684 = 285,339,684 : x
  2. Step 2: Convert to fraction form
    130,166,034/285,339,684 = 285,339,684/x
  3. Step 3: Cross multiply
    130,166,034x = 285,339,684 × 285,339,684
  4. Step 4: Simplify right side
    130,166,034x = 81,418,735,265,219,856
  5. Step 5: Solve for x
    x = 81,418,735,265,219,856/130,166,034
  6. Step 6: Final answer
    x = 625,499,085.77

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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.