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Finding the Third Proportional to 176,621,732,184 and 385,210,138,668

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Solution

The third proportional to 176,621,732,184 and 385,210,138,668 is: 840,139,257,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,621,732,184 : 385,210,138,668 = 385,210,138,668 : x
  2. Step 2: Convert to fraction form
    176,621,732,184/385,210,138,668 = 385,210,138,668/x
  3. Step 3: Cross multiply
    176,621,732,184x = 385,210,138,668 × 385,210,138,668
  4. Step 4: Simplify right side
    176,621,732,184x = 148,386,850,932,619,795,759,104
  5. Step 5: Solve for x
    x = 148,386,850,932,619,795,759,104/176,621,732,184
  6. Step 6: Final answer
    x = 840,139,257,484.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.