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Finding the Third Proportional to 76,127,176.50 and 114,214,093.50

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Solution

The third proportional to 76,127,176.50 and 114,214,093.50 is: 171,356,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,127,176.50 : 114,214,093.50 = 114,214,093.50 : x
  2. Step 2: Convert to fraction form
    76,127,176.50/114,214,093.50 = 114,214,093.50/x
  3. Step 3: Cross multiply
    76,127,176.50x = 114,214,093.50 × 114,214,093.50
  4. Step 4: Simplify right side
    76,127,176.50x = 13,044,859,154,026,742
  5. Step 5: Solve for x
    x = 13,044,859,154,026,742/76,127,176.50
  6. Step 6: Final answer
    x = 171,356,140.52

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