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Finding the Third Proportional to 161,232,492 and 243,184,996.50

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Solution

The third proportional to 161,232,492 and 243,184,996.50 is: 366,792,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,232,492 : 243,184,996.50 = 243,184,996.50 : x
  2. Step 2: Convert to fraction form
    161,232,492/243,184,996.50 = 243,184,996.50/x
  3. Step 3: Cross multiply
    161,232,492x = 243,184,996.50 × 243,184,996.50
  4. Step 4: Simplify right side
    161,232,492x = 59,138,942,522,705,016
  5. Step 5: Solve for x
    x = 59,138,942,522,705,016/161,232,492
  6. Step 6: Final answer
    x = 366,792,957.11

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Why These Related Problems?

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