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Finding the Third Proportional to 223,725,898.50 and 527,384,145.75

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Solution

The third proportional to 223,725,898.50 and 527,384,145.75 is: 1,243,191,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,725,898.50 : 527,384,145.75 = 527,384,145.75 : x
  2. Step 2: Convert to fraction form
    223,725,898.50/527,384,145.75 = 527,384,145.75/x
  3. Step 3: Cross multiply
    223,725,898.50x = 527,384,145.75 × 527,384,145.75
  4. Step 4: Simplify right side
    223,725,898.50x = 278,134,037,188,457,248
  5. Step 5: Solve for x
    x = 278,134,037,188,457,248/223,725,898.50
  6. Step 6: Final answer
    x = 1,243,191,061.26

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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.