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Finding the Third Proportional to 144,117,576 and 223,069,788

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Solution

The third proportional to 144,117,576 and 223,069,788 is: 345,274,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,117,576 : 223,069,788 = 223,069,788 : x
  2. Step 2: Convert to fraction form
    144,117,576/223,069,788 = 223,069,788/x
  3. Step 3: Cross multiply
    144,117,576x = 223,069,788 × 223,069,788
  4. Step 4: Simplify right side
    144,117,576x = 49,760,130,318,364,944
  5. Step 5: Solve for x
    x = 49,760,130,318,364,944/144,117,576
  6. Step 6: Final answer
    x = 345,274,543.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.