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Finding the Third Proportional to 176,621,732,185 and 385,210,138,670

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Solution

The third proportional to 176,621,732,185 and 385,210,138,670 is: 840,139,257,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,621,732,185 : 385,210,138,670 = 385,210,138,670 : x
  2. Step 2: Convert to fraction form
    176,621,732,185/385,210,138,670 = 385,210,138,670/x
  3. Step 3: Cross multiply
    176,621,732,185x = 385,210,138,670 × 385,210,138,670
  4. Step 4: Simplify right side
    176,621,732,185x = 148,386,850,934,160,632,053,760
  5. Step 5: Solve for x
    x = 148,386,850,934,160,632,053,760/176,621,732,185
  6. Step 6: Final answer
    x = 840,139,257,488.06

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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.