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Finding the Third Proportional to 153,414,816 and 329,597,184

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Solution

The third proportional to 153,414,816 and 329,597,184 is: 708,108,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414,816 : 329,597,184 = 329,597,184 : x
  2. Step 2: Convert to fraction form
    153,414,816/329,597,184 = 329,597,184/x
  3. Step 3: Cross multiply
    153,414,816x = 329,597,184 × 329,597,184
  4. Step 4: Simplify right side
    153,414,816x = 108,634,303,700,729,856
  5. Step 5: Solve for x
    x = 108,634,303,700,729,856/153,414,816
  6. Step 6: Final answer
    x = 708,108,294.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.