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Finding the Third Proportional to 264,822,007.50 and 363,528,317.25

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Solution

The third proportional to 264,822,007.50 and 363,528,317.25 is: 499,025,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,822,007.50 : 363,528,317.25 = 363,528,317.25 : x
  2. Step 2: Convert to fraction form
    264,822,007.50/363,528,317.25 = 363,528,317.25/x
  3. Step 3: Cross multiply
    264,822,007.50x = 363,528,317.25 × 363,528,317.25
  4. Step 4: Simplify right side
    264,822,007.50x = 132,152,837,442,616,640
  5. Step 5: Solve for x
    x = 132,152,837,442,616,640/264,822,007.50
  6. Step 6: Final answer
    x = 499,025,132.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.