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Finding the Third Proportional to 97,149,859 and 138,925,441

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Solution

The third proportional to 97,149,859 and 138,925,441 is: 198,665,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,149,859 : 138,925,441 = 138,925,441 : x
  2. Step 2: Convert to fraction form
    97,149,859/138,925,441 = 138,925,441/x
  3. Step 3: Cross multiply
    97,149,859x = 138,925,441 × 138,925,441
  4. Step 4: Simplify right side
    97,149,859x = 19,300,278,157,044,480
  5. Step 5: Solve for x
    x = 19,300,278,157,044,480/97,149,859
  6. Step 6: Final answer
    x = 198,665,014.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.