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Finding the Third Proportional to 55,323,200 and 81,191,119

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Solution

The third proportional to 55,323,200 and 81,191,119 is: 119,154,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,323,200 : 81,191,119 = 81,191,119 : x
  2. Step 2: Convert to fraction form
    55,323,200/81,191,119 = 81,191,119/x
  3. Step 3: Cross multiply
    55,323,200x = 81,191,119 × 81,191,119
  4. Step 4: Simplify right side
    55,323,200x = 6,591,997,804,472,161
  5. Step 5: Solve for x
    x = 6,591,997,804,472,161/55,323,200
  6. Step 6: Final answer
    x = 119,154,311.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.