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Finding the Third Proportional to 65,014,816.50 and 95,366,905.31

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Solution

The third proportional to 65,014,816.50 and 95,366,905.31 is: 139,888,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014,816.50 : 95,366,905.31 = 95,366,905.31 : x
  2. Step 2: Convert to fraction form
    65,014,816.50/95,366,905.31 = 95,366,905.31/x
  3. Step 3: Cross multiply
    65,014,816.50x = 95,366,905.31 × 95,366,905.31
  4. Step 4: Simplify right side
    65,014,816.50x = 9,094,846,628,883,340
  5. Step 5: Solve for x
    x = 9,094,846,628,883,340/65,014,816.50
  6. Step 6: Final answer
    x = 139,888,830.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.