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Finding the Third Proportional to 104,790,526,119 and 227,941,433,677.12

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Solution

The third proportional to 104,790,526,119 and 227,941,433,677.12 is: 495,820,558,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790,526,119 : 227,941,433,677.12 = 227,941,433,677.12 : x
  2. Step 2: Convert to fraction form
    104,790,526,119/227,941,433,677.12 = 227,941,433,677.12/x
  3. Step 3: Cross multiply
    104,790,526,119x = 227,941,433,677.12 × 227,941,433,677.12
  4. Step 4: Simplify right side
    104,790,526,119x = 51,957,297,186,780,896,821,248
  5. Step 5: Solve for x
    x = 51,957,297,186,780,896,821,248/104,790,526,119
  6. Step 6: Final answer
    x = 495,820,558,509.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.