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Finding the Third Proportional to 78,093,026 and 114,264,870

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Solution

The third proportional to 78,093,026 and 114,264,870 is: 167,191,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093,026 : 114,264,870 = 114,264,870 : x
  2. Step 2: Convert to fraction form
    78,093,026/114,264,870 = 114,264,870/x
  3. Step 3: Cross multiply
    78,093,026x = 114,264,870 × 114,264,870
  4. Step 4: Simplify right side
    78,093,026x = 13,056,460,516,116,900
  5. Step 5: Solve for x
    x = 13,056,460,516,116,900/78,093,026
  6. Step 6: Final answer
    x = 167,191,120.45

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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.