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Finding the Third Proportional to 65,468,155 and 98,475,563

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Solution

The third proportional to 65,468,155 and 98,475,563 is: 148,124,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468,155 : 98,475,563 = 98,475,563 : x
  2. Step 2: Convert to fraction form
    65,468,155/98,475,563 = 98,475,563/x
  3. Step 3: Cross multiply
    65,468,155x = 98,475,563 × 98,475,563
  4. Step 4: Simplify right side
    65,468,155x = 9,697,436,508,166,968
  5. Step 5: Solve for x
    x = 9,697,436,508,166,968/65,468,155
  6. Step 6: Final answer
    x = 148,124,481.41

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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.