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Finding the Third Proportional to 134,257,546 and 293,616,020

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Solution

The third proportional to 134,257,546 and 293,616,020 is: 642,126,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,257,546 : 293,616,020 = 293,616,020 : x
  2. Step 2: Convert to fraction form
    134,257,546/293,616,020 = 293,616,020/x
  3. Step 3: Cross multiply
    134,257,546x = 293,616,020 × 293,616,020
  4. Step 4: Simplify right side
    134,257,546x = 86,210,367,200,640,400
  5. Step 5: Solve for x
    x = 86,210,367,200,640,400/134,257,546
  6. Step 6: Final answer
    x = 642,126,791.15

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