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Finding the Third Proportional to 119,652,237 and 260,268,714

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Solution

The third proportional to 119,652,237 and 260,268,714 is: 566,139,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,237 : 260,268,714 = 260,268,714 : x
  2. Step 2: Convert to fraction form
    119,652,237/260,268,714 = 260,268,714/x
  3. Step 3: Cross multiply
    119,652,237x = 260,268,714 × 260,268,714
  4. Step 4: Simplify right side
    119,652,237x = 67,739,803,487,213,792
  5. Step 5: Solve for x
    x = 67,739,803,487,213,792/119,652,237
  6. Step 6: Final answer
    x = 566,139,047.51

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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.