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Finding the Third Proportional to 65,464,462 and 98,196,681

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Solution

The third proportional to 65,464,462 and 98,196,681 is: 147,295,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464,462 : 98,196,681 = 98,196,681 : x
  2. Step 2: Convert to fraction form
    65,464,462/98,196,681 = 98,196,681/x
  3. Step 3: Cross multiply
    65,464,462x = 98,196,681 × 98,196,681
  4. Step 4: Simplify right side
    65,464,462x = 9,642,588,159,415,760
  5. Step 5: Solve for x
    x = 9,642,588,159,415,760/65,464,462
  6. Step 6: Final answer
    x = 147,295,003.50

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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.