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Finding the Third Proportional to 72,275,343.19 and 110,106,919.69

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Solution

The third proportional to 72,275,343.19 and 110,106,919.69 is: 167,740,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,275,343.19 : 110,106,919.69 = 110,106,919.69 : x
  2. Step 2: Convert to fraction form
    72,275,343.19/110,106,919.69 = 110,106,919.69/x
  3. Step 3: Cross multiply
    72,275,343.19x = 110,106,919.69 × 110,106,919.69
  4. Step 4: Simplify right side
    72,275,343.19x = 12,123,533,763,069,576
  5. Step 5: Solve for x
    x = 12,123,533,763,069,576/72,275,343.19
  6. Step 6: Final answer
    x = 167,740,936.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.