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Finding the Third Proportional to 208,126,844.44 and 462,787,564.50

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Solution

The third proportional to 208,126,844.44 and 462,787,564.50 is: 1,029,047,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,126,844.44 : 462,787,564.50 = 462,787,564.50 : x
  2. Step 2: Convert to fraction form
    208,126,844.44/462,787,564.50 = 462,787,564.50/x
  3. Step 3: Cross multiply
    208,126,844.44x = 462,787,564.50 × 462,787,564.50
  4. Step 4: Simplify right side
    208,126,844.44x = 214,172,329,855,841,664
  5. Step 5: Solve for x
    x = 214,172,329,855,841,664/208,126,844.44
  6. Step 6: Final answer
    x = 1,029,047,119.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.