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Finding the Third Proportional to 78,093,014 and 114,264,855

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Solution

The third proportional to 78,093,014 and 114,264,855 is: 167,191,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093,014 : 114,264,855 = 114,264,855 : x
  2. Step 2: Convert to fraction form
    78,093,014/114,264,855 = 114,264,855/x
  3. Step 3: Cross multiply
    78,093,014x = 114,264,855 × 114,264,855
  4. Step 4: Simplify right side
    78,093,014x = 13,056,457,088,171,024
  5. Step 5: Solve for x
    x = 13,056,457,088,171,024/78,093,014
  6. Step 6: Final answer
    x = 167,191,102.24

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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.