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Finding the Third Proportional to 57,000,120 and 119,598,960

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Solution

The third proportional to 57,000,120 and 119,598,960 is: 250,945,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000,120 : 119,598,960 = 119,598,960 : x
  2. Step 2: Convert to fraction form
    57,000,120/119,598,960 = 119,598,960/x
  3. Step 3: Cross multiply
    57,000,120x = 119,598,960 × 119,598,960
  4. Step 4: Simplify right side
    57,000,120x = 14,303,911,233,081,600
  5. Step 5: Solve for x
    x = 14,303,911,233,081,600/57,000,120
  6. Step 6: Final answer
    x = 250,945,282.80

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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.