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Finding the Third Proportional to 134,257,544 and 293,616,016

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Solution

The third proportional to 134,257,544 and 293,616,016 is: 642,126,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,257,544 : 293,616,016 = 293,616,016 : x
  2. Step 2: Convert to fraction form
    134,257,544/293,616,016 = 293,616,016/x
  3. Step 3: Cross multiply
    134,257,544x = 293,616,016 × 293,616,016
  4. Step 4: Simplify right side
    134,257,544x = 86,210,364,851,712,256
  5. Step 5: Solve for x
    x = 86,210,364,851,712,256/134,257,544
  6. Step 6: Final answer
    x = 642,126,783.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.