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Finding the Third Proportional to 114,930,540 and 178,451,572

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Solution

The third proportional to 114,930,540 and 178,451,572 is: 277,080,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,930,540 : 178,451,572 = 178,451,572 : x
  2. Step 2: Convert to fraction form
    114,930,540/178,451,572 = 178,451,572/x
  3. Step 3: Cross multiply
    114,930,540x = 178,451,572 × 178,451,572
  4. Step 4: Simplify right side
    114,930,540x = 31,844,963,549,271,184
  5. Step 5: Solve for x
    x = 31,844,963,549,271,184/114,930,540
  6. Step 6: Final answer
    x = 277,080,082.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.