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Finding the Third Proportional to 163,641,328.50 and 254,084,358.50

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Solution

The third proportional to 163,641,328.50 and 254,084,358.50 is: 394,514,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,641,328.50 : 254,084,358.50 = 254,084,358.50 : x
  2. Step 2: Convert to fraction form
    163,641,328.50/254,084,358.50 = 254,084,358.50/x
  3. Step 3: Cross multiply
    163,641,328.50x = 254,084,358.50 × 254,084,358.50
  4. Step 4: Simplify right side
    163,641,328.50x = 64,558,861,234,356,520
  5. Step 5: Solve for x
    x = 64,558,861,234,356,520/163,641,328.50
  6. Step 6: Final answer
    x = 394,514,404.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.