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Finding the Third Proportional to 65,464,454 and 98,196,682

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Solution

The third proportional to 65,464,454 and 98,196,682 is: 147,295,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464,454 : 98,196,682 = 98,196,682 : x
  2. Step 2: Convert to fraction form
    65,464,454/98,196,682 = 98,196,682/x
  3. Step 3: Cross multiply
    65,464,454x = 98,196,682 × 98,196,682
  4. Step 4: Simplify right side
    65,464,454x = 9,642,588,355,809,124
  5. Step 5: Solve for x
    x = 9,642,588,355,809,124/65,464,454
  6. Step 6: Final answer
    x = 147,295,024.50

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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.