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Finding the Third Proportional to 208,195,442.50 and 323,412,164.50

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Solution

The third proportional to 208,195,442.50 and 323,412,164.50 is: 502,390,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,195,442.50 : 323,412,164.50 = 323,412,164.50 : x
  2. Step 2: Convert to fraction form
    208,195,442.50/323,412,164.50 = 323,412,164.50/x
  3. Step 3: Cross multiply
    208,195,442.50x = 323,412,164.50 × 323,412,164.50
  4. Step 4: Simplify right side
    208,195,442.50x = 104,595,428,146,575,056
  5. Step 5: Solve for x
    x = 104,595,428,146,575,056/208,195,442.50
  6. Step 6: Final answer
    x = 502,390,575.37

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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.