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Finding the Third Proportional to 119,652,654 and 260,269,544

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Solution

The third proportional to 119,652,654 and 260,269,544 is: 566,140,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,654 : 260,269,544 = 260,269,544 : x
  2. Step 2: Convert to fraction form
    119,652,654/260,269,544 = 260,269,544/x
  3. Step 3: Cross multiply
    119,652,654x = 260,269,544 × 260,269,544
  4. Step 4: Simplify right side
    119,652,654x = 67,740,235,533,967,936
  5. Step 5: Solve for x
    x = 67,740,235,533,967,936/119,652,654
  6. Step 6: Final answer
    x = 566,140,685.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.