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Finding the Third Proportional to 154,151,563.50 and 209,963,871

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Solution

The third proportional to 154,151,563.50 and 209,963,871 is: 285,983,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,151,563.50 : 209,963,871 = 209,963,871 : x
  2. Step 2: Convert to fraction form
    154,151,563.50/209,963,871 = 209,963,871/x
  3. Step 3: Cross multiply
    154,151,563.50x = 209,963,871 × 209,963,871
  4. Step 4: Simplify right side
    154,151,563.50x = 44,084,827,125,304,640
  5. Step 5: Solve for x
    x = 44,084,827,125,304,640/154,151,563.50
  6. Step 6: Final answer
    x = 285,983,652.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.