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Finding the Third Proportional to 64,551,015.28 and 97,015,706.44

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Solution

The third proportional to 64,551,015.28 and 97,015,706.44 is: 145,807,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,551,015.28 : 97,015,706.44 = 97,015,706.44 : x
  2. Step 2: Convert to fraction form
    64,551,015.28/97,015,706.44 = 97,015,706.44/x
  3. Step 3: Cross multiply
    64,551,015.28x = 97,015,706.44 × 97,015,706.44
  4. Step 4: Simplify right side
    64,551,015.28x = 9,412,047,295,567,178
  5. Step 5: Solve for x
    x = 9,412,047,295,567,178/64,551,015.28
  6. Step 6: Final answer
    x = 145,807,889.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.