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Finding the Third Proportional to 98,247,102,637.50 and 150,919,569,096.75

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Solution

The third proportional to 98,247,102,637.50 and 150,919,569,096.75 is: 231,830,921,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247,102,637.50 : 150,919,569,096.75 = 150,919,569,096.75 : x
  2. Step 2: Convert to fraction form
    98,247,102,637.50/150,919,569,096.75 = 150,919,569,096.75/x
  3. Step 3: Cross multiply
    98,247,102,637.50x = 150,919,569,096.75 × 150,919,569,096.75
  4. Step 4: Simplify right side
    98,247,102,637.50x = 22,776,716,336,348,698,509,312
  5. Step 5: Solve for x
    x = 22,776,716,336,348,698,509,312/98,247,102,637.50
  6. Step 6: Final answer
    x = 231,830,921,471.42

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