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Finding the Third Proportional to 146,385,603 and 307,867,324.50

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Solution

The third proportional to 146,385,603 and 307,867,324.50 is: 647,483,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,385,603 : 307,867,324.50 = 307,867,324.50 : x
  2. Step 2: Convert to fraction form
    146,385,603/307,867,324.50 = 307,867,324.50/x
  3. Step 3: Cross multiply
    146,385,603x = 307,867,324.50 × 307,867,324.50
  4. Step 4: Simplify right side
    146,385,603x = 94,782,289,494,788,304
  5. Step 5: Solve for x
    x = 94,782,289,494,788,304/146,385,603
  6. Step 6: Final answer
    x = 647,483,683.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.