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Finding the Third Proportional to 144,368,076 and 311,749,272

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Solution

The third proportional to 144,368,076 and 311,749,272 is: 673,193,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,368,076 : 311,749,272 = 311,749,272 : x
  2. Step 2: Convert to fraction form
    144,368,076/311,749,272 = 311,749,272/x
  3. Step 3: Cross multiply
    144,368,076x = 311,749,272 × 311,749,272
  4. Step 4: Simplify right side
    144,368,076x = 97,187,608,592,529,984
  5. Step 5: Solve for x
    x = 97,187,608,592,529,984/144,368,076
  6. Step 6: Final answer
    x = 673,193,210.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.