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Finding the Third Proportional to 120,302,468.50 and 257,870,771

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Solution

The third proportional to 120,302,468.50 and 257,870,771 is: 552,751,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,302,468.50 : 257,870,771 = 257,870,771 : x
  2. Step 2: Convert to fraction form
    120,302,468.50/257,870,771 = 257,870,771/x
  3. Step 3: Cross multiply
    120,302,468.50x = 257,870,771 × 257,870,771
  4. Step 4: Simplify right side
    120,302,468.50x = 66,497,334,536,134,440
  5. Step 5: Solve for x
    x = 66,497,334,536,134,440/120,302,468.50
  6. Step 6: Final answer
    x = 552,751,205.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.