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Finding the Third Proportional to 178,614,332 and 384,597,055

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Solution

The third proportional to 178,614,332 and 384,597,055 is: 828,124,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,614,332 : 384,597,055 = 384,597,055 : x
  2. Step 2: Convert to fraction form
    178,614,332/384,597,055 = 384,597,055/x
  3. Step 3: Cross multiply
    178,614,332x = 384,597,055 × 384,597,055
  4. Step 4: Simplify right side
    178,614,332x = 147,914,894,714,673,024
  5. Step 5: Solve for x
    x = 147,914,894,714,673,024/178,614,332
  6. Step 6: Final answer
    x = 828,124,445.89

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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.