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Finding the Third Proportional to 102,697,915.50 and 159,076,616

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Solution

The third proportional to 102,697,915.50 and 159,076,616 is: 246,405,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697,915.50 : 159,076,616 = 159,076,616 : x
  2. Step 2: Convert to fraction form
    102,697,915.50/159,076,616 = 159,076,616/x
  3. Step 3: Cross multiply
    102,697,915.50x = 159,076,616 × 159,076,616
  4. Step 4: Simplify right side
    102,697,915.50x = 25,305,369,758,011,456
  5. Step 5: Solve for x
    x = 25,305,369,758,011,456/102,697,915.50
  6. Step 6: Final answer
    x = 246,405,875.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.