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Finding the Third Proportional to 94,049,233 and 145,267,340

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Solution

The third proportional to 94,049,233 and 145,267,340 is: 224,378,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,049,233 : 145,267,340 = 145,267,340 : x
  2. Step 2: Convert to fraction form
    94,049,233/145,267,340 = 145,267,340/x
  3. Step 3: Cross multiply
    94,049,233x = 145,267,340 × 145,267,340
  4. Step 4: Simplify right side
    94,049,233x = 21,102,600,070,675,600
  5. Step 5: Solve for x
    x = 21,102,600,070,675,600/94,049,233
  6. Step 6: Final answer
    x = 224,378,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.