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Finding the Third Proportional to 241,392,907.50 and 521,376,172.50

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Solution

The third proportional to 241,392,907.50 and 521,376,172.50 is: 1,126,102,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,392,907.50 : 521,376,172.50 = 521,376,172.50 : x
  2. Step 2: Convert to fraction form
    241,392,907.50/521,376,172.50 = 521,376,172.50/x
  3. Step 3: Cross multiply
    241,392,907.50x = 521,376,172.50 × 521,376,172.50
  4. Step 4: Simplify right side
    241,392,907.50x = 271,833,113,250,749,760
  5. Step 5: Solve for x
    x = 271,833,113,250,749,760/241,392,907.50
  6. Step 6: Final answer
    x = 1,126,102,320.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.