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Finding the Third Proportional to 65,281,738 and 98,762,235

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Solution

The third proportional to 65,281,738 and 98,762,235 is: 149,413,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281,738 : 98,762,235 = 98,762,235 : x
  2. Step 2: Convert to fraction form
    65,281,738/98,762,235 = 98,762,235/x
  3. Step 3: Cross multiply
    65,281,738x = 98,762,235 × 98,762,235
  4. Step 4: Simplify right side
    65,281,738x = 9,753,979,062,195,224
  5. Step 5: Solve for x
    x = 9,753,979,062,195,224/65,281,738
  6. Step 6: Final answer
    x = 149,413,593.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.