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Finding the Third Proportional to 64,254,667 and 97,888,564.50

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Solution

The third proportional to 64,254,667 and 97,888,564.50 is: 149,128,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,254,667 : 97,888,564.50 = 97,888,564.50 : x
  2. Step 2: Convert to fraction form
    64,254,667/97,888,564.50 = 97,888,564.50/x
  3. Step 3: Cross multiply
    64,254,667x = 97,888,564.50 × 97,888,564.50
  4. Step 4: Simplify right side
    64,254,667x = 9,582,171,059,870,660
  5. Step 5: Solve for x
    x = 9,582,171,059,870,660/64,254,667
  6. Step 6: Final answer
    x = 149,128,016.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.