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Finding the Third Proportional to 163,641,324 and 254,084,352

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Solution

The third proportional to 163,641,324 and 254,084,352 is: 394,514,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,641,324 : 254,084,352 = 254,084,352 : x
  2. Step 2: Convert to fraction form
    163,641,324/254,084,352 = 254,084,352/x
  3. Step 3: Cross multiply
    163,641,324x = 254,084,352 × 254,084,352
  4. Step 4: Simplify right side
    163,641,324x = 64,558,857,931,259,904
  5. Step 5: Solve for x
    x = 64,558,857,931,259,904/163,641,324
  6. Step 6: Final answer
    x = 394,514,394.98

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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.