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Finding the Third Proportional to 208,126,838.81 and 462,787,553.25

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Solution

The third proportional to 208,126,838.81 and 462,787,553.25 is: 1,029,047,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,126,838.81 : 462,787,553.25 = 462,787,553.25 : x
  2. Step 2: Convert to fraction form
    208,126,838.81/462,787,553.25 = 462,787,553.25/x
  3. Step 3: Cross multiply
    208,126,838.81x = 462,787,553.25 × 462,787,553.25
  4. Step 4: Simplify right side
    208,126,838.81x = 214,172,319,443,121,600
  5. Step 5: Solve for x
    x = 214,172,319,443,121,600/208,126,838.81
  6. Step 6: Final answer
    x = 1,029,047,097.75

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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.