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Finding the Third Proportional to 250,841,324.25 and 540,123,544.50

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Solution

The third proportional to 250,841,324.25 and 540,123,544.50 is: 1,163,019,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,841,324.25 : 540,123,544.50 = 540,123,544.50 : x
  2. Step 2: Convert to fraction form
    250,841,324.25/540,123,544.50 = 540,123,544.50/x
  3. Step 3: Cross multiply
    250,841,324.25x = 540,123,544.50 × 540,123,544.50
  4. Step 4: Simplify right side
    250,841,324.25x = 291,733,443,323,243,456
  5. Step 5: Solve for x
    x = 291,733,443,323,243,456/250,841,324.25
  6. Step 6: Final answer
    x = 1,163,019,866.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.