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Finding the Third Proportional to 109,083,474 and 235,473,225.75

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Solution

The third proportional to 109,083,474 and 235,473,225.75 is: 508,304,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083,474 : 235,473,225.75 = 235,473,225.75 : x
  2. Step 2: Convert to fraction form
    109,083,474/235,473,225.75 = 235,473,225.75/x
  3. Step 3: Cross multiply
    109,083,474x = 235,473,225.75 × 235,473,225.75
  4. Step 4: Simplify right side
    109,083,474x = 55,447,640,045,110,464
  5. Step 5: Solve for x
    x = 55,447,640,045,110,464/109,083,474
  6. Step 6: Final answer
    x = 508,304,677.25

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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.