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Finding the Third Proportional to 148,692,106 and 322,096,608

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Solution

The third proportional to 148,692,106 and 322,096,608 is: 697,725,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692,106 : 322,096,608 = 322,096,608 : x
  2. Step 2: Convert to fraction form
    148,692,106/322,096,608 = 322,096,608/x
  3. Step 3: Cross multiply
    148,692,106x = 322,096,608 × 322,096,608
  4. Step 4: Simplify right side
    148,692,106x = 103,746,224,885,105,664
  5. Step 5: Solve for x
    x = 103,746,224,885,105,664/148,692,106
  6. Step 6: Final answer
    x = 697,725,169.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.