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Finding the Third Proportional to 70,527,096 and 165,945,991.50

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Solution

The third proportional to 70,527,096 and 165,945,991.50 is: 390,460,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,527,096 : 165,945,991.50 = 165,945,991.50 : x
  2. Step 2: Convert to fraction form
    70,527,096/165,945,991.50 = 165,945,991.50/x
  3. Step 3: Cross multiply
    70,527,096x = 165,945,991.50 × 165,945,991.50
  4. Step 4: Simplify right side
    70,527,096x = 27,538,072,094,918,072
  5. Step 5: Solve for x
    x = 27,538,072,094,918,072/70,527,096
  6. Step 6: Final answer
    x = 390,460,881.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.