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Finding the Third Proportional to 71,964,328.50 and 105,247,491.75

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Solution

The third proportional to 71,964,328.50 and 105,247,491.75 is: 153,923,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964,328.50 : 105,247,491.75 = 105,247,491.75 : x
  2. Step 2: Convert to fraction form
    71,964,328.50/105,247,491.75 = 105,247,491.75/x
  3. Step 3: Cross multiply
    71,964,328.50x = 105,247,491.75 × 105,247,491.75
  4. Step 4: Simplify right side
    71,964,328.50x = 11,077,034,519,666,318
  5. Step 5: Solve for x
    x = 11,077,034,519,666,318/71,964,328.50
  6. Step 6: Final answer
    x = 153,923,961.36

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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.