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Finding the Third Proportional to 82,110,064.50 and 114,794,901

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Solution

The third proportional to 82,110,064.50 and 114,794,901 is: 160,490,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110,064.50 : 114,794,901 = 114,794,901 : x
  2. Step 2: Convert to fraction form
    82,110,064.50/114,794,901 = 114,794,901/x
  3. Step 3: Cross multiply
    82,110,064.50x = 114,794,901 × 114,794,901
  4. Step 4: Simplify right side
    82,110,064.50x = 13,177,869,295,599,800
  5. Step 5: Solve for x
    x = 13,177,869,295,599,800/82,110,064.50
  6. Step 6: Final answer
    x = 160,490,305.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.