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Finding the Third Proportional to 282,301,146 and 611,501,960.25

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Solution

The third proportional to 282,301,146 and 611,501,960.25 is: 1,324,594,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,301,146 : 611,501,960.25 = 611,501,960.25 : x
  2. Step 2: Convert to fraction form
    282,301,146/611,501,960.25 = 611,501,960.25/x
  3. Step 3: Cross multiply
    282,301,146x = 611,501,960.25 × 611,501,960.25
  4. Step 4: Simplify right side
    282,301,146x = 373,934,647,389,592,576
  5. Step 5: Solve for x
    x = 373,934,647,389,592,576/282,301,146
  6. Step 6: Final answer
    x = 1,324,594,861.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.