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Finding the Third Proportional to 161,232,497 and 243,185,005

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Solution

The third proportional to 161,232,497 and 243,185,005 is: 366,792,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,232,497 : 243,185,005 = 243,185,005 : x
  2. Step 2: Convert to fraction form
    161,232,497/243,185,005 = 243,185,005/x
  3. Step 3: Cross multiply
    161,232,497x = 243,185,005 × 243,185,005
  4. Step 4: Simplify right side
    161,232,497x = 59,138,946,656,850,024
  5. Step 5: Solve for x
    x = 59,138,946,656,850,024/161,232,497
  6. Step 6: Final answer
    x = 366,792,971.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.