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Finding the Third Proportional to 73,045,444,503 and 157,083,977,223

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Solution

The third proportional to 73,045,444,503 and 157,083,977,223 is: 337,808,552,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045,444,503 : 157,083,977,223 = 157,083,977,223 : x
  2. Step 2: Convert to fraction form
    73,045,444,503/157,083,977,223 = 157,083,977,223/x
  3. Step 3: Cross multiply
    73,045,444,503x = 157,083,977,223 × 157,083,977,223
  4. Step 4: Simplify right side
    73,045,444,503x = 24,675,375,900,195,983,196,160
  5. Step 5: Solve for x
    x = 24,675,375,900,195,983,196,160/73,045,444,503
  6. Step 6: Final answer
    x = 337,808,552,854.83

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Why These Related Problems?

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