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Finding the Third Proportional to 97,922,694 and 148,143,461

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Solution

The third proportional to 97,922,694 and 148,143,461 is: 224,120,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,922,694 : 148,143,461 = 148,143,461 : x
  2. Step 2: Convert to fraction form
    97,922,694/148,143,461 = 148,143,461/x
  3. Step 3: Cross multiply
    97,922,694x = 148,143,461 × 148,143,461
  4. Step 4: Simplify right side
    97,922,694x = 21,946,485,037,058,520
  5. Step 5: Solve for x
    x = 21,946,485,037,058,520/97,922,694
  6. Step 6: Final answer
    x = 224,120,519.37

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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.