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Finding the Third Proportional to 90,118,018.13 and 185,013,469.13

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Solution

The third proportional to 90,118,018.13 and 185,013,469.13 is: 379,835,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118,018.13 : 185,013,469.13 = 185,013,469.13 : x
  2. Step 2: Convert to fraction form
    90,118,018.13/185,013,469.13 = 185,013,469.13/x
  3. Step 3: Cross multiply
    90,118,018.13x = 185,013,469.13 × 185,013,469.13
  4. Step 4: Simplify right side
    90,118,018.13x = 34,229,983,757,667,328
  5. Step 5: Solve for x
    x = 34,229,983,757,667,328/90,118,018.13
  6. Step 6: Final answer
    x = 379,835,070.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.