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Finding the Third Proportional to 136,038,905 and 277,787,791

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Solution

The third proportional to 136,038,905 and 277,787,791 is: 567,235,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,038,905 : 277,787,791 = 277,787,791 : x
  2. Step 2: Convert to fraction form
    136,038,905/277,787,791 = 277,787,791/x
  3. Step 3: Cross multiply
    136,038,905x = 277,787,791 × 277,787,791
  4. Step 4: Simplify right side
    136,038,905x = 77,166,056,828,659,680
  5. Step 5: Solve for x
    x = 77,166,056,828,659,680/136,038,905
  6. Step 6: Final answer
    x = 567,235,209.87

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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.