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Finding the Third Proportional to 152,153,852 and 323,983,412

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Solution

The third proportional to 152,153,852 and 323,983,412 is: 689,862,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,153,852 : 323,983,412 = 323,983,412 : x
  2. Step 2: Convert to fraction form
    152,153,852/323,983,412 = 323,983,412/x
  3. Step 3: Cross multiply
    152,153,852x = 323,983,412 × 323,983,412
  4. Step 4: Simplify right side
    152,153,852x = 104,965,251,251,161,744
  5. Step 5: Solve for x
    x = 104,965,251,251,161,744/152,153,852
  6. Step 6: Final answer
    x = 689,862,595.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.