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Finding the Third Proportional to 81,794,893.50 and 119,528,708.06

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Solution

The third proportional to 81,794,893.50 and 119,528,708.06 is: 174,669,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794,893.50 : 119,528,708.06 = 119,528,708.06 : x
  2. Step 2: Convert to fraction form
    81,794,893.50/119,528,708.06 = 119,528,708.06/x
  3. Step 3: Cross multiply
    81,794,893.50x = 119,528,708.06 × 119,528,708.06
  4. Step 4: Simplify right side
    81,794,893.50x = 14,287,112,051,090,352
  5. Step 5: Solve for x
    x = 14,287,112,051,090,352/81,794,893.50
  6. Step 6: Final answer
    x = 174,669,975.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.