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Finding the Third Proportional to 76,566,181.50 and 117,687,633.75

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Solution

The third proportional to 76,566,181.50 and 117,687,633.75 is: 180,894,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,181.50 : 117,687,633.75 = 117,687,633.75 : x
  2. Step 2: Convert to fraction form
    76,566,181.50/117,687,633.75 = 117,687,633.75/x
  3. Step 3: Cross multiply
    76,566,181.50x = 117,687,633.75 × 117,687,633.75
  4. Step 4: Simplify right side
    76,566,181.50x = 13,850,379,137,674,140
  5. Step 5: Solve for x
    x = 13,850,379,137,674,140/76,566,181.50
  6. Step 6: Final answer
    x = 180,894,212.91

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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.