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Finding the Third Proportional to 98,247,102,594 and 150,919,569,009

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Solution

The third proportional to 98,247,102,594 and 150,919,569,009 is: 231,830,921,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247,102,594 : 150,919,569,009 = 150,919,569,009 : x
  2. Step 2: Convert to fraction form
    98,247,102,594/150,919,569,009 = 150,919,569,009/x
  3. Step 3: Cross multiply
    98,247,102,594x = 150,919,569,009 × 150,919,569,009
  4. Step 4: Simplify right side
    98,247,102,594x = 22,776,716,309,862,314,672,128
  5. Step 5: Solve for x
    x = 22,776,716,309,862,314,672,128/98,247,102,594
  6. Step 6: Final answer
    x = 231,830,921,304.48

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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.