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Finding the Third Proportional to 73,045,444,501.50 and 157,083,977,220.38

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Solution

The third proportional to 73,045,444,501.50 and 157,083,977,220.38 is: 337,808,552,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045,444,501.50 : 157,083,977,220.38 = 157,083,977,220.38 : x
  2. Step 2: Convert to fraction form
    73,045,444,501.50/157,083,977,220.38 = 157,083,977,220.38/x
  3. Step 3: Cross multiply
    73,045,444,501.50x = 157,083,977,220.38 × 157,083,977,220.38
  4. Step 4: Simplify right side
    73,045,444,501.50x = 24,675,375,899,372,863,619,072
  5. Step 5: Solve for x
    x = 24,675,375,899,372,863,619,072/73,045,444,501.50
  6. Step 6: Final answer
    x = 337,808,552,850.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.