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Finding the Third Proportional to 102,697,914.75 and 159,076,615.50

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Solution

The third proportional to 102,697,914.75 and 159,076,615.50 is: 246,405,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697,914.75 : 159,076,615.50 = 159,076,615.50 : x
  2. Step 2: Convert to fraction form
    102,697,914.75/159,076,615.50 = 159,076,615.50/x
  3. Step 3: Cross multiply
    102,697,914.75x = 159,076,615.50 × 159,076,615.50
  4. Step 4: Simplify right side
    102,697,914.75x = 25,305,369,598,934,840
  5. Step 5: Solve for x
    x = 25,305,369,598,934,840/102,697,914.75
  6. Step 6: Final answer
    x = 246,405,875.53

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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.