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Finding the Third Proportional to 239,822,674.50 and 524,778,741

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Solution

The third proportional to 239,822,674.50 and 524,778,741 is: 1,148,318,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,822,674.50 : 524,778,741 = 524,778,741 : x
  2. Step 2: Convert to fraction form
    239,822,674.50/524,778,741 = 524,778,741/x
  3. Step 3: Cross multiply
    239,822,674.50x = 524,778,741 × 524,778,741
  4. Step 4: Simplify right side
    239,822,674.50x = 275,392,727,005,545,088
  5. Step 5: Solve for x
    x = 275,392,727,005,545,088/239,822,674.50
  6. Step 6: Final answer
    x = 1,148,318,137.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.