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Finding the Third Proportional to 64,257,352 and 97,892,144

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Solution

The third proportional to 64,257,352 and 97,892,144 is: 149,132,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,257,352 : 97,892,144 = 97,892,144 : x
  2. Step 2: Convert to fraction form
    64,257,352/97,892,144 = 97,892,144/x
  3. Step 3: Cross multiply
    64,257,352x = 97,892,144 × 97,892,144
  4. Step 4: Simplify right side
    64,257,352x = 9,582,871,856,916,736
  5. Step 5: Solve for x
    x = 9,582,871,856,916,736/64,257,352
  6. Step 6: Final answer
    x = 149,132,691.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.