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Finding the Third Proportional to 134,265,256 and 207,329,042

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Solution

The third proportional to 134,265,256 and 207,329,042 is: 320,152,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,265,256 : 207,329,042 = 207,329,042 : x
  2. Step 2: Convert to fraction form
    134,265,256/207,329,042 = 207,329,042/x
  3. Step 3: Cross multiply
    134,265,256x = 207,329,042 × 207,329,042
  4. Step 4: Simplify right side
    134,265,256x = 42,985,331,656,637,760
  5. Step 5: Solve for x
    x = 42,985,331,656,637,760/134,265,256
  6. Step 6: Final answer
    x = 320,152,308.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.