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Finding the Third Proportional to 78,093,002.25 and 114,264,839.25

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Solution

The third proportional to 78,093,002.25 and 114,264,839.25 is: 167,191,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093,002.25 : 114,264,839.25 = 114,264,839.25 : x
  2. Step 2: Convert to fraction form
    78,093,002.25/114,264,839.25 = 114,264,839.25/x
  3. Step 3: Cross multiply
    78,093,002.25x = 114,264,839.25 × 114,264,839.25
  4. Step 4: Simplify right side
    78,093,002.25x = 13,056,453,488,828,340
  5. Step 5: Solve for x
    x = 13,056,453,488,828,340/78,093,002.25
  6. Step 6: Final answer
    x = 167,191,081.31

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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.