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Finding the Third Proportional to 98,247,102,640 and 150,919,569,078

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Solution

The third proportional to 98,247,102,640 and 150,919,569,078 is: 231,830,921,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247,102,640 : 150,919,569,078 = 150,919,569,078 : x
  2. Step 2: Convert to fraction form
    98,247,102,640/150,919,569,078 = 150,919,569,078/x
  3. Step 3: Cross multiply
    98,247,102,640x = 150,919,569,078 × 150,919,569,078
  4. Step 4: Simplify right side
    98,247,102,640x = 22,776,716,330,689,215,070,208
  5. Step 5: Solve for x
    x = 22,776,716,330,689,215,070,208/98,247,102,640
  6. Step 6: Final answer
    x = 231,830,921,407.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.