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Finding the Third Proportional to 75,814,650 and 116,459,610

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Solution

The third proportional to 75,814,650 and 116,459,610 is: 178,894,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814,650 : 116,459,610 = 116,459,610 : x
  2. Step 2: Convert to fraction form
    75,814,650/116,459,610 = 116,459,610/x
  3. Step 3: Cross multiply
    75,814,650x = 116,459,610 × 116,459,610
  4. Step 4: Simplify right side
    75,814,650x = 13,562,840,761,352,100
  5. Step 5: Solve for x
    x = 13,562,840,761,352,100/75,814,650
  6. Step 6: Final answer
    x = 178,894,722.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.