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Finding the Third Proportional to 95,090,529,141 and 207,267,011,898

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Solution

The third proportional to 95,090,529,141 and 207,267,011,898 is: 451,775,950,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,090,529,141 : 207,267,011,898 = 207,267,011,898 : x
  2. Step 2: Convert to fraction form
    95,090,529,141/207,267,011,898 = 207,267,011,898/x
  3. Step 3: Cross multiply
    95,090,529,141x = 207,267,011,898 × 207,267,011,898
  4. Step 4: Simplify right side
    95,090,529,141x = 42,959,614,221,125,670,666,240
  5. Step 5: Solve for x
    x = 42,959,614,221,125,670,666,240/95,090,529,141
  6. Step 6: Final answer
    x = 451,775,950,867.04

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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.