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Finding the Third Proportional to 225,396,261 and 339,868,154.25

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Solution

The third proportional to 225,396,261 and 339,868,154.25 is: 512,476,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,396,261 : 339,868,154.25 = 339,868,154.25 : x
  2. Step 2: Convert to fraction form
    225,396,261/339,868,154.25 = 339,868,154.25/x
  3. Step 3: Cross multiply
    225,396,261x = 339,868,154.25 × 339,868,154.25
  4. Step 4: Simplify right side
    225,396,261x = 115,510,362,273,301,792
  5. Step 5: Solve for x
    x = 115,510,362,273,301,792/225,396,261
  6. Step 6: Final answer
    x = 512,476,834.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.