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Finding the Third Proportional to 250,419,519 and 346,032,445.50

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Solution

The third proportional to 250,419,519 and 346,032,445.50 is: 478,151,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,419,519 : 346,032,445.50 = 346,032,445.50 : x
  2. Step 2: Convert to fraction form
    250,419,519/346,032,445.50 = 346,032,445.50/x
  3. Step 3: Cross multiply
    250,419,519x = 346,032,445.50 × 346,032,445.50
  4. Step 4: Simplify right side
    250,419,519x = 119,738,453,338,710,464
  5. Step 5: Solve for x
    x = 119,738,453,338,710,464/250,419,519
  6. Step 6: Final answer
    x = 478,151,438.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.