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Finding the Third Proportional to 52,960,041 and 114,280,409.25

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Solution

The third proportional to 52,960,041 and 114,280,409.25 is: 246,601,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,960,041 : 114,280,409.25 = 114,280,409.25 : x
  2. Step 2: Convert to fraction form
    52,960,041/114,280,409.25 = 114,280,409.25/x
  3. Step 3: Cross multiply
    52,960,041x = 114,280,409.25 × 114,280,409.25
  4. Step 4: Simplify right side
    52,960,041x = 13,060,011,938,347,486
  5. Step 5: Solve for x
    x = 13,060,011,938,347,486/52,960,041
  6. Step 6: Final answer
    x = 246,601,242.97

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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.