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Finding the Third Proportional to 200,899,675.50 and 432,586,791

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Solution

The third proportional to 200,899,675.50 and 432,586,791 is: 931,466,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,899,675.50 : 432,586,791 = 432,586,791 : x
  2. Step 2: Convert to fraction form
    200,899,675.50/432,586,791 = 432,586,791/x
  3. Step 3: Cross multiply
    200,899,675.50x = 432,586,791 × 432,586,791
  4. Step 4: Simplify right side
    200,899,675.50x = 187,131,331,747,677,696
  5. Step 5: Solve for x
    x = 187,131,331,747,677,696/200,899,675.50
  6. Step 6: Final answer
    x = 931,466,570.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.