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Finding the Third Proportional to 67,450,463.02 and 147,099,106.48

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Solution

The third proportional to 67,450,463.02 and 147,099,106.48 is: 320,800,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,450,463.02 : 147,099,106.48 = 147,099,106.48 : x
  2. Step 2: Convert to fraction form
    67,450,463.02/147,099,106.48 = 147,099,106.48/x
  3. Step 3: Cross multiply
    67,450,463.02x = 147,099,106.48 × 147,099,106.48
  4. Step 4: Simplify right side
    67,450,463.02x = 21,638,147,126,202,336
  5. Step 5: Solve for x
    x = 21,638,147,126,202,336/67,450,463.02
  6. Step 6: Final answer
    x = 320,800,572.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.