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Finding the Third Proportional to 161,936,175,133.50 and 356,259,018,892.50

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Solution

The third proportional to 161,936,175,133.50 and 356,259,018,892.50 is: 783,768,595,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,936,175,133.50 : 356,259,018,892.50 = 356,259,018,892.50 : x
  2. Step 2: Convert to fraction form
    161,936,175,133.50/356,259,018,892.50 = 356,259,018,892.50/x
  3. Step 3: Cross multiply
    161,936,175,133.50x = 356,259,018,892.50 × 356,259,018,892.50
  4. Step 4: Simplify right side
    161,936,175,133.50x = 126,920,488,542,246,675,677,184
  5. Step 5: Solve for x
    x = 126,920,488,542,246,675,677,184/161,936,175,133.50
  6. Step 6: Final answer
    x = 783,768,595,482.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.