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Finding the Third Proportional to 149,644,360.50 and 349,636,747.50

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Solution

The third proportional to 149,644,360.50 and 349,636,747.50 is: 816,909,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,644,360.50 : 349,636,747.50 = 349,636,747.50 : x
  2. Step 2: Convert to fraction form
    149,644,360.50/349,636,747.50 = 349,636,747.50/x
  3. Step 3: Cross multiply
    149,644,360.50x = 349,636,747.50 × 349,636,747.50
  4. Step 4: Simplify right side
    149,644,360.50x = 122,245,855,202,378,752
  5. Step 5: Solve for x
    x = 122,245,855,202,378,752/149,644,360.50
  6. Step 6: Final answer
    x = 816,909,202.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.