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Finding the Third Proportional to 296,538,898 and 617,621,808.50

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Solution

The third proportional to 296,538,898 and 617,621,808.50 is: 1,286,363,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,898 : 617,621,808.50 = 617,621,808.50 : x
  2. Step 2: Convert to fraction form
    296,538,898/617,621,808.50 = 617,621,808.50/x
  3. Step 3: Cross multiply
    296,538,898x = 617,621,808.50 × 617,621,808.50
  4. Step 4: Simplify right side
    296,538,898x = 381,456,698,334,810,688
  5. Step 5: Solve for x
    x = 381,456,698,334,810,688/296,538,898
  6. Step 6: Final answer
    x = 1,286,363,107.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.