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Finding the Third Proportional to 255,369,388.50 and 531,119,845.13

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Solution

The third proportional to 255,369,388.50 and 531,119,845.13 is: 1,104,628,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,369,388.50 : 531,119,845.13 = 531,119,845.13 : x
  2. Step 2: Convert to fraction form
    255,369,388.50/531,119,845.13 = 531,119,845.13/x
  3. Step 3: Cross multiply
    255,369,388.50x = 531,119,845.13 × 531,119,845.13
  4. Step 4: Simplify right side
    255,369,388.50x = 282,088,289,885,604,000
  5. Step 5: Solve for x
    x = 282,088,289,885,604,000/255,369,388.50
  6. Step 6: Final answer
    x = 1,104,628,442.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.