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Finding the Third Proportional to 148,692,098 and 322,096,592

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Solution

The third proportional to 148,692,098 and 322,096,592 is: 697,725,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692,098 : 322,096,592 = 322,096,592 : x
  2. Step 2: Convert to fraction form
    148,692,098/322,096,592 = 322,096,592/x
  3. Step 3: Cross multiply
    148,692,098x = 322,096,592 × 322,096,592
  4. Step 4: Simplify right side
    148,692,098x = 103,746,214,578,014,464
  5. Step 5: Solve for x
    x = 103,746,214,578,014,464/148,692,098
  6. Step 6: Final answer
    x = 697,725,137.88

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Why These Related Problems?

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