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Finding the Third Proportional to 76,149,166.50 and 116,008,341.75

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Solution

The third proportional to 76,149,166.50 and 116,008,341.75 is: 176,731,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149,166.50 : 116,008,341.75 = 116,008,341.75 : x
  2. Step 2: Convert to fraction form
    76,149,166.50/116,008,341.75 = 116,008,341.75/x
  3. Step 3: Cross multiply
    76,149,166.50x = 116,008,341.75 × 116,008,341.75
  4. Step 4: Simplify right side
    76,149,166.50x = 13,457,935,355,584,794
  5. Step 5: Solve for x
    x = 13,457,935,355,584,794/76,149,166.50
  6. Step 6: Final answer
    x = 176,731,223.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.