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Finding the Third Proportional to 125,403,706.13 and 262,241,696.25

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Solution

The third proportional to 125,403,706.13 and 262,241,696.25 is: 548,394,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,403,706.13 : 262,241,696.25 = 262,241,696.25 : x
  2. Step 2: Convert to fraction form
    125,403,706.13/262,241,696.25 = 262,241,696.25/x
  3. Step 3: Cross multiply
    125,403,706.13x = 262,241,696.25 × 262,241,696.25
  4. Step 4: Simplify right side
    125,403,706.13x = 68,770,707,252,077,264
  5. Step 5: Solve for x
    x = 68,770,707,252,077,264/125,403,706.13
  6. Step 6: Final answer
    x = 548,394,536.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.