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Finding the Third Proportional to 78,093,020 and 114,264,863

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Solution

The third proportional to 78,093,020 and 114,264,863 is: 167,191,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093,020 : 114,264,863 = 114,264,863 : x
  2. Step 2: Convert to fraction form
    78,093,020/114,264,863 = 114,264,863/x
  3. Step 3: Cross multiply
    78,093,020x = 114,264,863 × 114,264,863
  4. Step 4: Simplify right side
    78,093,020x = 13,056,458,916,408,768
  5. Step 5: Solve for x
    x = 13,056,458,916,408,768/78,093,020
  6. Step 6: Final answer
    x = 167,191,112.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.