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Finding the Third Proportional to 75,445,610 and 113,542,152

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Solution

The third proportional to 75,445,610 and 113,542,152 is: 170,875,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,445,610 : 113,542,152 = 113,542,152 : x
  2. Step 2: Convert to fraction form
    75,445,610/113,542,152 = 113,542,152/x
  3. Step 3: Cross multiply
    75,445,610x = 113,542,152 × 113,542,152
  4. Step 4: Simplify right side
    75,445,610x = 12,891,820,280,791,104
  5. Step 5: Solve for x
    x = 12,891,820,280,791,104/75,445,610
  6. Step 6: Final answer
    x = 170,875,684.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.