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Finding the Third Proportional to 92,102,073.75 and 201,508,782.75

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Solution

The third proportional to 92,102,073.75 and 201,508,782.75 is: 440,878,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102,073.75 : 201,508,782.75 = 201,508,782.75 : x
  2. Step 2: Convert to fraction form
    92,102,073.75/201,508,782.75 = 201,508,782.75/x
  3. Step 3: Cross multiply
    92,102,073.75x = 201,508,782.75 × 201,508,782.75
  4. Step 4: Simplify right side
    92,102,073.75x = 40,605,789,525,386,696
  5. Step 5: Solve for x
    x = 40,605,789,525,386,696/92,102,073.75
  6. Step 6: Final answer
    x = 440,878,124.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.