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Finding the Third Proportional to 223,726,080 and 527,384,581.50

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Solution

The third proportional to 223,726,080 and 527,384,581.50 is: 1,243,192,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,726,080 : 527,384,581.50 = 527,384,581.50 : x
  2. Step 2: Convert to fraction form
    223,726,080/527,384,581.50 = 527,384,581.50/x
  3. Step 3: Cross multiply
    223,726,080x = 527,384,581.50 × 527,384,581.50
  4. Step 4: Simplify right side
    223,726,080x = 278,134,496,803,930,144
  5. Step 5: Solve for x
    x = 278,134,496,803,930,144/223,726,080
  6. Step 6: Final answer
    x = 1,243,192,107.08

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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.