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Finding the Third Proportional to 223,725,903 and 527,384,157

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Solution

The third proportional to 223,725,903 and 527,384,157 is: 1,243,191,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,725,903 : 527,384,157 = 527,384,157 : x
  2. Step 2: Convert to fraction form
    223,725,903/527,384,157 = 527,384,157/x
  3. Step 3: Cross multiply
    223,725,903x = 527,384,157 × 527,384,157
  4. Step 4: Simplify right side
    223,725,903x = 278,134,049,054,600,640
  5. Step 5: Solve for x
    x = 278,134,049,054,600,640/223,725,903
  6. Step 6: Final answer
    x = 1,243,191,089.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.