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Finding the Third Proportional to 138,809,714 and 304,855,814

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Solution

The third proportional to 138,809,714 and 304,855,814 is: 669,528,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809,714 : 304,855,814 = 304,855,814 : x
  2. Step 2: Convert to fraction form
    138,809,714/304,855,814 = 304,855,814/x
  3. Step 3: Cross multiply
    138,809,714x = 304,855,814 × 304,855,814
  4. Step 4: Simplify right side
    138,809,714x = 92,937,067,329,602,592
  5. Step 5: Solve for x
    x = 92,937,067,329,602,592/138,809,714
  6. Step 6: Final answer
    x = 669,528,555.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.