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Finding the Third Proportional to 136,038,881.25 and 277,787,745.56

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Solution

The third proportional to 136,038,881.25 and 277,787,745.56 is: 567,235,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,038,881.25 : 277,787,745.56 = 277,787,745.56 : x
  2. Step 2: Convert to fraction form
    136,038,881.25/277,787,745.56 = 277,787,745.56/x
  3. Step 3: Cross multiply
    136,038,881.25x = 277,787,745.56 × 277,787,745.56
  4. Step 4: Simplify right side
    136,038,881.25x = 77,166,031,584,696,240
  5. Step 5: Solve for x
    x = 77,166,031,584,696,240/136,038,881.25
  6. Step 6: Final answer
    x = 567,235,123.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.